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Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres
| Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres |
| Autore | Hirschfeld J. W. P (James William Peter), <1940-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2008 |
| Descrizione fisica | 1 online resource (717 p.) |
| Disciplina | 516.352 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Curves, Algebraic
Finite fields (Algebra) |
| Soggetto non controllato |
Abelian group
Abelian variety Affine plane Affine space Affine variety Algebraic closure Algebraic curve Algebraic equation Algebraic extension Algebraic function Algebraic geometry Algebraic integer Algebraic number field Algebraic number theory Algebraic number Algebraic variety Algebraically closed field Applied mathematics Automorphism Birational invariant Characteristic exponent Classification theorem Clifford's theorem Combinatorics Complex number Computation Cyclic group Cyclotomic polynomial Degeneracy (mathematics) Degenerate conic Divisor (algebraic geometry) Divisor Dual curve Dual space Elliptic curve Equation Fermat curve Finite field Finite geometry Finite group Formal power series Function (mathematics) Function field Fundamental theorem Galois extension Galois theory Gauss map General position Generic point Geometry Homogeneous polynomial Hurwitz's theorem Hyperelliptic curve Hyperplane Identity matrix Inequality (mathematics) Intersection number (graph theory) Intersection number J-invariant Line at infinity Linear algebra Linear map Mathematical induction Mathematics Menelaus' theorem Modular curve Natural number Number theory Parity (mathematics) Permutation group Plane curve Point at infinity Polar curve Polygon Polynomial Power series Prime number Projective plane Projective space Quadratic transformation Quadric Resolution of singularities Riemann hypothesis Scalar multiplication Scientific notation Separable extension Separable polynomial Sign (mathematics) Singular point of a curve Special case Subgroup Sylow theorems System of linear equations Tangent Theorem Transcendence degree Upper and lower bounds Valuation ring Variable (mathematics) Vector space |
| ISBN | 1-4008-4741-9 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- PART 1. General theory of curves -- Chapter One. Fundamental ideas -- Chapter Two. Elimination theory -- Chapter Three. Singular points and intersections -- Chapter Four. Branches and parametrisation -- Chapter Five. The function field of a curve -- Chapter Six. Linear series and the Riemann-Roch Theorem -- Chapter Seven. Algebraic curves in higher-dimensional spaces -- PART 2. Curves over a finite field -- Chapter Eight. Rational points and places over a finite field -- Chapter Nine. Zeta functions and curves with many rational points -- PART 3. Further developments -- Chapter Ten. Maximal and optimal curves -- Chapter Eleven. Automorphisms of an algebraic curve -- Chapter Twelve. Some families of algebraic curves -- Chapter Thirteen. Applications: codes and arcs -- Appendix A. Background on field theory and group theory -- Appendix B. Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910786795203321 |
Hirschfeld J. W. P (James William Peter), <1940->
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| Princeton, New Jersey : , : Princeton University Press, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres
| Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres |
| Autore | Hirschfeld J. W. P (James William Peter), <1940-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2008 |
| Descrizione fisica | 1 online resource (717 p.) |
| Disciplina | 516.352 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Curves, Algebraic
Finite fields (Algebra) |
| Soggetto non controllato |
Abelian group
Abelian variety Affine plane Affine space Affine variety Algebraic closure Algebraic curve Algebraic equation Algebraic extension Algebraic function Algebraic geometry Algebraic integer Algebraic number field Algebraic number theory Algebraic number Algebraic variety Algebraically closed field Applied mathematics Automorphism Birational invariant Characteristic exponent Classification theorem Clifford's theorem Combinatorics Complex number Computation Cyclic group Cyclotomic polynomial Degeneracy (mathematics) Degenerate conic Divisor (algebraic geometry) Divisor Dual curve Dual space Elliptic curve Equation Fermat curve Finite field Finite geometry Finite group Formal power series Function (mathematics) Function field Fundamental theorem Galois extension Galois theory Gauss map General position Generic point Geometry Homogeneous polynomial Hurwitz's theorem Hyperelliptic curve Hyperplane Identity matrix Inequality (mathematics) Intersection number (graph theory) Intersection number J-invariant Line at infinity Linear algebra Linear map Mathematical induction Mathematics Menelaus' theorem Modular curve Natural number Number theory Parity (mathematics) Permutation group Plane curve Point at infinity Polar curve Polygon Polynomial Power series Prime number Projective plane Projective space Quadratic transformation Quadric Resolution of singularities Riemann hypothesis Scalar multiplication Scientific notation Separable extension Separable polynomial Sign (mathematics) Singular point of a curve Special case Subgroup Sylow theorems System of linear equations Tangent Theorem Transcendence degree Upper and lower bounds Valuation ring Variable (mathematics) Vector space |
| ISBN | 1-4008-4741-9 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- PART 1. General theory of curves -- Chapter One. Fundamental ideas -- Chapter Two. Elimination theory -- Chapter Three. Singular points and intersections -- Chapter Four. Branches and parametrisation -- Chapter Five. The function field of a curve -- Chapter Six. Linear series and the Riemann-Roch Theorem -- Chapter Seven. Algebraic curves in higher-dimensional spaces -- PART 2. Curves over a finite field -- Chapter Eight. Rational points and places over a finite field -- Chapter Nine. Zeta functions and curves with many rational points -- PART 3. Further developments -- Chapter Ten. Maximal and optimal curves -- Chapter Eleven. Automorphisms of an algebraic curve -- Chapter Twelve. Some families of algebraic curves -- Chapter Thirteen. Applications: codes and arcs -- Appendix A. Background on field theory and group theory -- Appendix B. Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910812510203321 |
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Hirschfeld J. W. P (James William Peter), <1940->
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| Princeton, New Jersey : , : Princeton University Press, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / / Victor Guillemin
| Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / / Victor Guillemin |
| Autore | Guillemin Victor |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (236 pages) : illustrations |
| Disciplina | 523.1/072/4 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Cosmology - Mathematical models
Geometry, Differential Lorentz transformations |
| Soggetto non controllato |
Automorphism
Bijection C0 Canonical form Canonical transformation Cauchy distribution Causal structure Cayley transform Codimension Cohomology Cokernel Compactification (mathematics) Complexification (Lie group) Computation Conformal geometry Conformal map Conformal symmetry Connected sum Contact geometry Corank Covariant derivative Covering space Deformation theory Diagram (category theory) Diffeomorphism Differentiable manifold Differential operator Dimension (vector space) Einstein field equations Equation Euler characteristic Existential quantification Fiber bundle Fibration Floquet theory Four-dimensional space Fourier integral operator Fourier transform Fundamental group Geodesic Hamilton–Jacobi equation Hilbert space Holomorphic function Holomorphic vector bundle Hyperfunction Hypersurface Integral curve Integral geometry Integral transform Intersection (set theory) Invertible matrix K-finite Lagrangian (field theory) Lie algebra Light cone Linear map Manifold Maxima and minima Minkowski space Module (mathematics) Notation One-parameter group Parametrix Parametrization Principal bundle Product metric Pseudo-differential operator Quadratic equation Quadratic form Quadric Radon transform Riemann surface Riemannian manifold Seifert fiber space Sheaf (mathematics) Siegel domain Simply connected space Submanifold Submersion (mathematics) Support (mathematics) Surjective function Symplectic manifold Symplectic vector space Symplectomorphism Tangent space Tautology (logic) Tensor product Theorem Topological space Topology Two-dimensional space Unit vector Universal enveloping algebra Variable (mathematics) Vector bundle Vector field Vector space Verma module Volume form X-ray transform |
| ISBN | 1-4008-8241-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Foreword -- Part I. A relativistic approach to Zoll phenomena -- Part II. The general theory of Zollfrei deformations -- Part III. Zollfrei deformations of M2,1 -- Part IV. The generalized x-ray transform -- Part V. The Floquet theory -- Bibliography |
| Record Nr. | UNINA-9910154746903321 |
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Guillemin Victor
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79 : Proceedings of the 1973 Conference at the University of Maryland. (AM-79) / / Leon Greenberg
| Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79 : Proceedings of the 1973 Conference at the University of Maryland. (AM-79) / / Leon Greenberg |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (456 pages) : illustrations |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Riemann surfaces
Discontinuous groups |
| Soggetto non controllato |
Abelian variety
Adjunction (field theory) Affine space Algebraic curve Algebraic structure Analytic function Arithmetic genus Automorphism Bernhard Riemann Boundary (topology) Cauchy sequence Cauchy–Schwarz inequality Cayley–Hamilton theorem Closed geodesic Combination Commutative diagram Commutator subgroup Compact Riemann surface Complex dimension Complex manifold Complex multiplication Complex space Complex torus Congruence subgroup Conjugacy class Convex set Cyclic group Degeneracy (mathematics) Diagram (category theory) Diffeomorphism Differential form Dimension (vector space) Disjoint sets E7 (mathematics) Endomorphism Equation Equivalence class Euclidean space Existence theorem Existential quantification Finite group Finitely generated group Fuchsian group Fundamental domain Fundamental lemma (Langlands program) Fundamental polygon Galois extension Holomorphic function Homeomorphism Homology (mathematics) Homomorphism Hurwitz's theorem (number theory) Inclusion map Inequality (mathematics) Inner automorphism Intersection (set theory) Irreducibility (mathematics) Isomorphism class Isomorphism theorem Jacobian variety Jordan curve theorem Kleinian group Limit point Mapping class group Metric space Monodromy Monomorphism Möbius transformation Non-Euclidean geometry Orthogonal trajectory Permutation Polynomial Power series Projective variety Quadratic differential Quadric Quasi-projective variety Quasiconformal mapping Quotient space (topology) Rectangle Riemann mapping theorem Riemann surface Schwarzian derivative Simply connected space Simultaneous equations Special case Subgroup Subsequence Surjective function Symmetric space Tangent space Teichmüller space Theorem Topological space Topology Uniqueness theorem Unit disk Variable (mathematics) Winding number Word problem (mathematics) |
| ISBN | 1-4008-8164-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE / Greenberg, L. -- CONTENTS -- CONSTRUCT ABILITY AND BERS STABILITY OF KLEINIAN GROUPS / Abikoff, William -- ALGEBRAIC CURVES AND HALF-CANONICAL LINEAR SERIES / Accola, Robert D. M. -- SUFFICIENT CONDITIONS FOR QUASI-CONFORMAL EXTENSION / Ahlfors, Lars V. -- FUNDAMENTAL DOMAINS FOR KLEINIAN GROUPS / Beardon, A. F. -- SPACES OF DEGENERATING RIEMANN SURFACES / Bers, Lipman -- MAPPING CLASS GROUPS OF SURFACES: A SURVEY / Birman, Joan S. -- A NOTE ON L2 ( Γ G ) / Chen, Su-shing -- ON THE OUTRADIUS OF FINITE-DIMENSIONAL TEICHMÜLLER SPACES / Chu, T. -- SOME DIRECT LIMITS OF PRIMITIVE HOMOTOPY WORDS AND OF MARKOFF GEODESICS / Cohn, Harvey -- ON THE CARATHÉODORY METRIC IN TEICHMÜLLER SPACES / Earle, Clifford J. -- SOME REFINEMENTS OF THE POINCARÉ PERIOD RELATION / Ehrenpreis, L. / Farkas, H. M. -- REMARKS ON AUTOMORPHISMS OF COMPACT RIEMANN SURFACES / Farkas, Hershel M. -- THE STRUCTURE OF PSL2(R );R , THE RING OF INTEGERS IN A EUCLIDEAN QUADRATIC IMAGINARY NUMBER FIELD / Fine, Benjamin -- QUASI-CONFORMAL MAPPINGS AND LEBESGUE DENSITY / Gehring, F. W. / Kelly, J. C. -- ON THE MODULI OF COMPACT RIEMANN SURFACES WITH A FINITE NUMBER OF PUNCTURES / Gilman, Jane -- MAXIMAL GROUPS AND SIGNATURES / Greenberg, Leon -- COMMENSURABLE GROUPS OF MOEBIUS TRANSFORMATIONS / Greenberg, Leon -- CHABAUTY SPACES OF DISCRETE GROUPS / Harvey, William -- MONODROMY GROUPS AND LINEARLY POLYMORPHIC FUNCTIONS / Hejhal, Dennis A. -- COLLARS ON RIEMANN SURFACES / Keen, Linda -- DEFORMATIONS OF CERTAIN COMPLEX MANIFOLDS / Kiremidjian, Garo K. -- ON THE A (Γ ) ⊂ Bq(Γ ) CONJECTURE FOR INFINITELY GENERATED GROUPS / Lehner, Joseph -- THE FUNDAMENTAL GROUPS OF CERTAIN SUBGROUP SPACES / Macbeath, A. M. -- MODULAR GROUPS AND FIBER SPACES OVER TEICHMÜLLER SPACES / Maclachlan, C. -- UNIVERSAL PROPERTIES OF FUCHSIAN GROUPS IN THE POINCARÉ METRIC / Marden, Albert -- REMARKS ON COMPLEX MULTIPLICATION AND SINGULAR RIEMANN MATRICES / Martens, Henrik H. -- INTERSECTIONS OF COMPONENT SUBGROUPS OF KLEINIAN GROUPS / Maskit, Bernard -- POLYNOMIAL APPROXIMATION IN THE BERS SPACES / Metzger, Thomas / Sheingorn, Mark -- SIMPLE ILLUSTRATIONS OF THE USES OF EXPLICIT COMPUTATION OF THETA CONSTANTS / Rauch, Harry E. -- ON THE RELATION BETWEEN LOCAL AND GLOBAL PROPERTIES OF BOUNDARY VALUES FOR EXTREMAL QUASI-CONFORMAL MAPPINGS / Reich, Edgar -- SYMMETRIC EMBEDDINGS OF RIEMANN SURFACES / Rüedy, Reto A. -- ON THE TRAJECTORY STRUCTURE OF QUADRATIC DIFFERENTIALS / Strebel, Kurt -- THE MAXIMAL INSCRIBED BALL OF A FUCHSIAN GROUP / Sturm, Jacob / Shinnar, Meir -- Backmatter |
| Record Nr. | UNINA-9910154754003321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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General Galois geometries / J.W.P. Hirschfeld, J.A. Thas
| General Galois geometries / J.W.P. Hirschfeld, J.A. Thas |
| Autore | Hirschfeld, James W. P. |
| Pubbl/distr/stampa | London, : Springer, 2016 - XVII, 409 p., : ill. ; 24 cm |
| Altri autori (Persone) | Thas, Joseph Adolf |
| Soggetto topico |
51E20 - Combinatorial structures in finite projective spaces [MSC 2020]
51A50 - Polar geometry, symplectic spaces, orthogonal spaces [MSC 2020] 51D20 - Combinatorial geometries and geometric closure systems [MSC 2020] 51A05 - General theory of linear incidence geometry and projective geometries [MSC 2020] 05B25 - Combinatorial aspects of finite geometries [MSC 2020] 51E12 - Generalized quadrangles and generalized polygons in finite geometry [MSC 2020] 51E21 - Blocking sets, ovals, k-arcs [MSC 2020] 51A30 - Desarguesian and Pappian geometries [MSC 2020] 14H50 - Plane and space curves [MSC 2020] 14L35 - Classical groups (algebro-geometric aspects) [MSC 2020] 14M15 - Grassmannians, Schubert varieties, flag manifolds [MSC 2020] 94B05 - Linear codes, general [MSC 2020] 51A45 - Incidence structures imbeddable into projective geometries [MSC 2020] 51E23 - Spreads and packing problems in finite geometry [MSC 2020] 51E14 - Finite partial geometries (general), nets, partial spreads [MSC 2020] 51E22 - Linear codes and caps in Galois spaces [MSC 2020] |
| Soggetto non controllato |
Algebraic Variety
Capcombinatorics Finite fields Finite geometry Grassmann Variety Hermitian Variety Incidence Structure MDS Code Quadric |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0114792 |
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Hirschfeld, James W. P.
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| London, : Springer, 2016 - XVII, 409 p., : ill. ; 24 cm | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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General Galois geometries / J.W.P. Hirschfeld, J.A. Thas
| General Galois geometries / J.W.P. Hirschfeld, J.A. Thas |
| Autore | Hirschfeld, James W. P. |
| Pubbl/distr/stampa | London, : Springer, 2016 - XVII, 409 p., : ill. ; 24 cm |
| Altri autori (Persone) | Thas, Joseph Adolf |
| Soggetto topico |
05B25 - Combinatorial aspects of finite geometries [MSC 2020]
14H50 - Plane and space curves [MSC 2020] 14L35 - Classical groups (algebro-geometric aspects) [MSC 2020] 14M15 - Grassmannians, Schubert varieties, flag manifolds [MSC 2020] 51A05 - General theory of linear incidence geometry and projective geometries [MSC 2020] 51A30 - Desarguesian and Pappian geometries [MSC 2020] 51A45 - Incidence structures imbeddable into projective geometries [MSC 2020] 51A50 - Polar geometry, symplectic spaces, orthogonal spaces [MSC 2020] 51D20 - Combinatorial geometries and geometric closure systems [MSC 2020] 51E12 - Generalized quadrangles and generalized polygons in finite geometry [MSC 2020] 51E14 - Finite partial geometries (general), nets, partial spreads [MSC 2020] 51E20 - Combinatorial structures in finite projective spaces [MSC 2020] 51E21 - Blocking sets, ovals, k-arcs [MSC 2020] 51E22 - Linear codes and caps in Galois spaces [MSC 2020] 51E23 - Spreads and packing problems in finite geometry [MSC 2020] 94B05 - Linear codes, general [MSC 2020] |
| Soggetto non controllato |
Algebraic Variety
Capcombinatorics Finite fields Finite geometry Grassmann Variety Hermitian Variety Incidence Structure MDS Code Quadric |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00114792 |
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Hirschfeld, James W. P.
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| London, : Springer, 2016 - XVII, 409 p., : ill. ; 24 cm | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Introduction to Toric Varieties. (AM-131), Volume 131 / / William Fulton
| Introduction to Toric Varieties. (AM-131), Volume 131 / / William Fulton |
| Autore | Fulton William |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (171 pages) : illustrations |
| Disciplina | 516.3/53 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Toric varieties |
| Soggetto non controllato |
Addition
Affine plane Affine space Affine variety Alexander Grothendieck Alexander duality Algebraic curve Algebraic group Atiyah–Singer index theorem Automorphism Betti number Big O notation Characteristic class Chern class Chow group Codimension Cohomology Combinatorics Commutative property Complete intersection Convex polytope Convex set Coprime integers Cotangent space Dedekind sum Dimension (vector space) Dimension Direct proof Discrete valuation ring Discrete valuation Disjoint union Divisor (algebraic geometry) Divisor Dual basis Dual space Equation Equivalence class Equivariant K-theory Euler characteristic Exact sequence Explicit formula Facet (geometry) Fundamental group Graded ring Grassmannian H-vector Hirzebruch surface Hodge theory Homogeneous coordinates Homomorphism Hypersurface Intersection theory Invertible matrix Invertible sheaf Isoperimetric inequality Lattice (group) Leray spectral sequence Limit point Line bundle Line segment Linear subspace Local ring Mathematical induction Mixed volume Moduli space Moment map Monotonic function Natural number Newton polygon Open set Picard group Pick's theorem Polytope Projective space Quadric Quotient space (topology) Regular sequence Relative interior Resolution of singularities Restriction (mathematics) Resultant Riemann–Roch theorem Serre duality Sign (mathematics) Simplex Simplicial complex Simultaneous equations Spectral sequence Subgroup Subset Summation Surjective function Tangent bundle Theorem Topology Toric variety Unit disk Vector space Weil conjecture Zariski topology |
| ISBN | 1-4008-8252-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Errata -- Chapter 1. Definitions and examples -- Chapter 2. Singularities and compactness -- Chapter 3. Orbits, topology, and line bundles -- Chapter 4. Moment maps and the tangent bundle -- Chapter 5. Intersection theory -- Notes -- References -- Index of Notation -- Index |
| Record Nr. | UNINA-9910154749903321 |
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Fulton William
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Radon transforms and the rigidity of the Grassmannians [[electronic resource] /] / Jacques Gasqui and Hubert Goldschmidt
| Radon transforms and the rigidity of the Grassmannians [[electronic resource] /] / Jacques Gasqui and Hubert Goldschmidt |
| Autore | Gasqui Jacques |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2004 |
| Descrizione fisica | 1 online resource (385 p.) |
| Disciplina | 515/.723 |
| Altri autori (Persone) | GoldschmidtHubert <1942-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Radon transforms
Grassmann manifolds |
| Soggetto non controllato |
Adjoint
Automorphism Cartan decomposition Cartan subalgebra Casimir element Closed geodesic Cohomology Commutative property Complex manifold Complex number Complex projective plane Complex projective space Complex vector bundle Complexification Computation Constant curvature Coset Covering space Curvature Determinant Diagram (category theory) Diffeomorphism Differential form Differential geometry Differential operator Dimension (vector space) Dot product Eigenvalues and eigenvectors Einstein manifold Elliptic operator Endomorphism Equivalence class Even and odd functions Exactness Existential quantification G-module Geometry Grassmannian Harmonic analysis Hermitian symmetric space Hodge dual Homogeneous space Identity element Implicit function Injective function Integer Integral Isometry Killing form Killing vector field Lemma (mathematics) Lie algebra Lie derivative Line bundle Mathematical induction Morphism Open set Orthogonal complement Orthonormal basis Orthonormality Parity (mathematics) Partial differential equation Projection (linear algebra) Projective space Quadric Quaternionic projective space Quotient space (topology) Radon transform Real number Real projective plane Real projective space Real structure Remainder Restriction (mathematics) Riemann curvature tensor Riemann sphere Riemannian manifold Rigidity (mathematics) Scalar curvature Second fundamental form Simple Lie group Standard basis Stokes' theorem Subgroup Submanifold Symmetric space Tangent bundle Tangent space Tangent vector Tensor Theorem Topological group Torus Unit vector Unitary group Vector bundle Vector field Vector space X-ray transform Zero of a function |
| ISBN |
1-282-15898-8
9786612158988 1-4008-2617-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- Chapter I. Symmetric Spaces and Einstein Manifolds -- Chapter II. Radon Transforms on Symmetric Spaces -- Chapter III. Symmetric Spaces of Rank One -- Chapter IV. The Real Grassmannians -- Chapter V. The Complex Quadric -- Chapter VI. The Rigidity of the Complex Quadric -- Chapter VII. The Rigidity of the Real Grassmannians -- Chapter VIII. The Complex Grassmannians -- Chapter IX. The Rigidity of the Complex Grassmannians -- Chapter X. Products of Symmetric Spaces -- References -- Index |
| Record Nr. | UNINA-9910778216403321 |
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Gasqui Jacques
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| Princeton, N.J., : Princeton University Press, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106 / / Phillip A. Griffiths
| Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106 / / Phillip A. Griffiths |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (328 pages) : illustrations |
| Disciplina | 512/.33 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Geometry, Algebraic
Hodge theory Torelli theorem |
| Soggetto non controllato |
Abelian integral
Algebraic curve Algebraic cycle Algebraic equation Algebraic geometry Algebraic integer Algebraic structure Algebraic surface Arithmetic genus Arithmetic group Asymptotic analysis Automorphism Base change Bilinear form Bilinear map Cohomology Combinatorics Commutative diagram Compactification (mathematics) Complete intersection Complex manifold Complex number Computation Deformation theory Degeneracy (mathematics) Differentiable manifold Dimension (vector space) Divisor (algebraic geometry) Divisor Elliptic curve Elliptic surface Equation Exact sequence Fiber bundle Function (mathematics) Fundamental class Geometric genus Geometry Hermitian symmetric space Hodge structure Hodge theory Homology (mathematics) Homomorphism Homotopy Hypersurface Intersection form (4-manifold) Intersection number Irreducibility (mathematics) Isomorphism class Jacobian variety K3 surface Kodaira dimension Kronecker's theorem Kummer surface Kähler manifold Lie algebra bundle Lie algebra Linear algebra Linear algebraic group Line–line intersection Mathematical induction Mathematical proof Mathematics Modular arithmetic Module (mathematics) Moduli space Monodromy matrix Monodromy theorem Monodromy Nilpotent orbit Normal function Open set Period mapping Permutation group Phillip Griffiths Point at infinity Pole (complex analysis) Polynomial Projective space Pullback (category theory) Quadric Regular singular point Resolution of singularities Riemann–Roch theorem for surfaces Scientific notation Set (mathematics) Special case Spectral sequence Subgroup Submanifold Surface of general type Surjective function Tangent bundle Theorem Topology Torelli theorem Transcendental number Vector space Zariski topology Zariski's main theorem |
| ISBN | 1-4008-8165-X |
| Classificazione | SK 240 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Table of Contents -- INTRODUCTION / Griffiths, Phillip -- Chapter I. VARIATION OF HODGE STRUCTURE / Griffiths, Phillip / Tu, Loring -- Chapter II. CURVATURE PROPERTIES OF THE HODGE BUNDLES / Griffiths, Phillip / Tu, Loring -- Chapter III. INFINITESIMAL VARIATION OF HODGE STRUCTURE / Griffiths, Phillip / Tu, Loring -- Chapter IV. ASYMPTOTIC BEHAVIOR OF A VARIATION OF HODGE STRUCTURE / Griffiths, Phillip / Tu, Loring -- Chapter V. MIXED HODGE STRUCTURES, COMPACTIFICATIONS AND MONODROMY WEIGHT FILTRATION / Cattani, Eduardo H. -- Chapter VI. THE CLEMENS-SCHMID EXACT SEQUENCE AND APPLICATIONS / Morrison, David R. -- Chapter VII DEGENERATION OF HODGE BUNDLES (AFTER STEENBRINK) / Zucker, Steven -- Chapter VIII. INFINITESIMAL TORELLI THEOREMS AND COUNTEREXAMPLES TO TORELLI PROBLEMS / Catanese, Fabrizio M.E. -- Chapter IX. THE TORELLI PROBLEM FOR ELLIPTIC PENCILS / Chakiris, Ken -- Chapter X. THE PERIOD MAP AT THE BOUNDARY OF MODULI / Friedman, Robert -- Chapter XI. THE GENERIC TORELLI PROBLEM FOR PRYM VARIETIES AND INTERSECTIONS OF THREE QUADRICS / Smith, Roy -- Chapter XII. INFINITESIMAL VARIATION OF HODGE STRUCTURE AND THE GENERIC GLOBAL TORELLI THEOREM / Griffiths, Phillip / Tu, Loring -- Chapter XIII. GENERIC TORELLI AND VARIATIONAL SCHOTTKY / Donagi, Ron -- Chapter XIV. INTERMEDIATE JACOBIANS AND NORMAL FUNCTIONS / Zucker, Steven -- Chapter XV. EXTENDABILITY OF NORMAL FUNCTIONS ASSOCIATED TO ALGEBRAIC CYCLES / Zein, Fouad El / Zucker, Steven -- Chapter XVI. SOME RESULTS ABOUT ABEL-JACOBI MAPPINGS / Clemens, Herbert -- Chapter XVII. INFINITESIMAL INVARIANT OF NORMAL FUNCTIONS / Griffiths, Phillip -- Backmatter |
| Record Nr. | UNINA-9910154742603321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||