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An Introduction to G-Functions. (AM-133), Volume 133 / / Bernard Dwork, Francis J. Sullivan, Giovanni Gerotto
| An Introduction to G-Functions. (AM-133), Volume 133 / / Bernard Dwork, Francis J. Sullivan, Giovanni Gerotto |
| Autore | Dwork Bernard |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (349 pages) : illustrations |
| Disciplina | 515/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
H-functions
p-adic analysis |
| Soggetto non controllato |
Adjoint
Algebraic Method Algebraic closure Algebraic number field Algebraic number theory Algebraic variety Algebraically closed field Analytic continuation Analytic function Argument principle Arithmetic Automorphism Bearing (navigation) Binomial series Calculation Cardinality Cartesian coordinate system Cauchy sequence Cauchy's theorem (geometry) Coefficient Cohomology Commutative ring Complete intersection Complex analysis Conjecture Density theorem Differential equation Dimension (vector space) Direct sum Discrete valuation Eigenvalues and eigenvectors Elliptic curve Equation Equivalence class Estimation Existential quantification Exponential function Exterior algebra Field of fractions Finite field Formal power series Fuchs' theorem G-module Galois extension Galois group General linear group Generic point Geometry Hypergeometric function Identity matrix Inequality (mathematics) Intercept method Irreducible element Irreducible polynomial Laurent series Limit of a sequence Linear differential equation Lowest common denominator Mathematical induction Meromorphic function Modular arithmetic Module (mathematics) Monodromy Monotonic function Multiplicative group Natural number Newton polygon Number theory P-adic number Parameter Permutation Polygon Polynomial Projective line Q.E.D. Quadratic residue Radius of convergence Rational function Rational number Residue field Riemann hypothesis Ring of integers Root of unity Separable polynomial Sequence Siegel's lemma Special case Square root Subring Subset Summation Theorem Topology of uniform convergence Transpose Triangle inequality Unipotent Valuation ring Weil conjecture Wronskian Y-intercept |
| ISBN | 1-4008-8254-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE / Dwork, B. -- INTRODUCTION -- LIST OF SYMBOLS -- CHAPTER I. VALUED FIELDS -- CHAPTER II. ZETA FUNCTIONS -- CHAPTER III. DIFFERENTIAL EQUATIONS -- CHAPTER IV. EFFECTIVE BOUNDS. ORDINARY DISKS -- CHAPTER V. EFFECTIVE BOUNDS. SINGULAR DISKS -- CHAPTER VI. TRANSFER THEOREMS INTO DISKS WITH ONE SINGULARITY -- CHAPTER VII. DIFFERENTIAL EQUATIONS OF ARITHMETIC TYPE -- CHAPTER VIII. G-SERIES. THE THEOREM OF CHUDNOVSKY -- APPENDIX I. CONVERGENCE POLYGON FOR DIFFERENTIAL EQUATIONS -- APPENDIX II. ARCHIMEDEAN ESTIMATES -- APPENDIX III. CAUCHY'S THEOREM -- BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154744303321 |
Dwork Bernard
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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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Recent Developments in Several Complex Variables. (AM-100), Volume 100 / / John Erik Fornaess
| Recent Developments in Several Complex Variables. (AM-100), Volume 100 / / John Erik Fornaess |
| Autore | Fornaess John Erik |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (468 pages) : illustrations |
| Disciplina | 515.9/4 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Functions of several complex variables |
| Soggetto non controllato |
Analytic continuation
Analytic function Analytic set Analytic space Asymptotic expansion Automorphic function Axiom Base change Bergman metric Betti number Big O notation Bilinear form Boundary value problem CR manifold Canonical bundle Cauchy problem Cauchy–Riemann equations Characteristic variety Codimension Coefficient Cohomology ring Cohomology Commutative property Commutator Compactification (mathematics) Complete intersection Complete metric space Complex dimension Complex manifold Complex number Complex plane Complex projective space Complex space Complex-analytic variety Degeneracy (mathematics) Dense set Determinant Diffeomorphism Differentiable function Dimension (vector space) Dimension Eigenvalues and eigenvectors Embedding Existential quantification Explicit formulae (L-function) Fermat curve Fiber bundle Fundamental solution Gorenstein ring Hartogs' extension theorem Hilbert space Hilbert transform Holomorphic function Homotopy Hyperfunction Hypersurface Hypoelliptic operator Interpolation theorem Irreducible component Isometry Linear map Manifold Maximal ideal Monic polynomial Monotonic function Multiple integral Nilpotent Lie algebra Norm (mathematics) Open set Orthogonal group Parametrization Permutation Plurisubharmonic function Polynomial Principal bundle Principal part Principal value Projection (linear algebra) Projective line Proper map Quadratic function Real projective space Resolution of singularities Riemann surface Riemannian manifold Sectional curvature Sheaf cohomology Special case Submanifold Subset Symplectic vector space Tangent space Theorem Topology Uniqueness theorem Unit disk Unit sphere Variable (mathematics) Vector bundle Vector field |
| ISBN | 1-4008-8154-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- THE FOUNDING OF THE ANNALS STUDIES -- FOREWORD -- TABLE OF CONTENTS -- PROJECTIVE CAPACITY / Alexander, H. -- ANOTHER PROOF OF THE LEMMA OF THE LOGARITHMIC DERIVATIVE IN SEVERAL COMPLEX VARIABLES / Biancofiore, Aldo / Stoll, Wilhelm -- GRAPH THEORETIC TECHNIQUES IN ALGEBRAIC GEOMETRY I: THE EXTENDED DYNKIN DIAGRAM Ē8 AND MINIMAL SINGULAR COMPACTIFICATIONS OF C2 / Brenton, Lawrence / Drucker, Daniel / Prins, Geert C. E. -- ON METRICS AND DISTORTION THEOREMS / Burbea, Jacob -- NECESSARY CONDITIONS FOR SUBELLIPTICITY AND HYPOELLIPTICITY FOR THE ∂̅-NEUMANN PROBLEM ON PSEUDOCONVEX DOMAINS / Catlin, David -- DAS FORMALE PRINZIP FÜR KOMPAKTE KOMPLEXE UNTERMANNIGFALTIGKEITEN MIT 1-POSITIVEM NORMALENBUNDEL / Commichau, Michael / Grauert, Hans -- PERTURBATIONS OF ANALYTIC VARIETIES / D'Angelo, John P. -- BIHOLOMORPHIC MAPPINGS BETWEEN TWO-DIMENSIONAL HARTOGS DOMAINS WITH REAL-ANALYTIC BOUNDARIES / Diederich, Klas / Fornaess, John Erik -- NECESSARY CONDITIONS FOR HYPOELLIPTICITY OF THE (∂̅-PROBLEM) / Diederich, Klas / Pflug, Peter -- THE EDGE-OF-THE-WEDGE THEOREM FOR PARTIAL DIFFERENTIAL EQUATIONS / Ehrenpreis, Leon -- THE RADIAL DERIVATIVE, FRACTIONAL INTEGRALS, AND THE COMPARATIVE GROWTH OF MEANS OF HOLOMORPHIC FUNCTIONS ON THE UNIT BALL IN Cn / Graham, Ian -- STABILITY PROPERTIES OF THE BERGMAN KERNEL AND CURVATURE PROPERTIES OF BOUNDED DOMAINS / Greene, R. E. / Krantz, Steven G. -- GLOBALE HOLOMORPHE KERNE ZUR LÖSUNG DER CAUCHY-RIEMANNSCHEN DIFFERENTIALGLEICHUNGEN / Hortmann, Michael -- MAPPINGS BETWEEN CR MANIFOLDS / Jacobowitz, Howard -- BOUNDARY REGULARITY OF ∂̅ / Kohn, J. J. -- ON CP1 AS AN EXCEPTIONAL SET / Laufer, Henry B. -- ORTHOGONAL MEASURES FOR SUBSETS OF THE BOUNDARY OF THE BALL IN C2 / Lee, Hsuan-Pei / Wermer, John -- A HOLOMORPHICALLY CONVEX ANALOGUE OF CARTAN'S THEOREM B / Markoe, Andrew -- SOME GENERAL RESULTS ON EQUIVALENCE OF EMBEDDINGS / Morrow, J. / Rossi, H. -- LIMITS OF BOUNDED HOLOMORPHIC FUNCTIONS ALONG CURVES / Nagel, Alexander / Wainger, Stephen -- ON APPELL'S SYSTEMS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS / Sasaki, Takeshi / Takano, Kyoichi -- A CLASS OF HYPERBOLIC MANIFOLDS / Sibony, Nessim -- INTERPOLATION MANIFOLDS / Stout, Edgar Lee -- SURVEY OF SOME RECENT RESULTS IN C∞ AND REAL ANALYTIC HYPOELLIPTICITY FOR PARTIAL DIFFERENTIAL OPERATORS WITH APPLICATIONS TO SEVERAL COMPLEX VARIABLES / Tartakoff, David S. -- THE FERMAT SURFACE AND ITS PERIODS / Tretkoff, Marvin D. -- SHEAF COHOMOLOGY ON 1-CONVEX MANIFOLDS / Yau, Stephen S. -T. |
| Record Nr. | UNINA-9910154749403321 |
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Fornaess John Erik
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| 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 | ||
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