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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 |
|
Hirschfeld J. W. P (James William Peter), <1940->
|
||
| Princeton, New Jersey : , : Princeton University Press, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The structure of affine buildings [[electronic resource] /] / Richard M. Weiss
| The structure of affine buildings [[electronic resource] /] / Richard M. Weiss |
| Autore | Weiss Richard M (Richard Mark), <1946-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (381 p.) |
| Disciplina | 512/.2 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Buildings (Group theory)
Moufang loops Automorphisms Affine algebraic groups |
| Soggetto non controllato |
Addition
Additive group Additive inverse Algebraic group Algebraic structure Ambient space Associative property Automorphism Big O notation Bijection Bilinear form Bounded set (topological vector space) Bounded set Calculation Cardinality Cauchy sequence Commutative property Complete graph Complete metric space Composition algebra Connected component (graph theory) Consistency Continuous function Coordinate system Corollary Coxeter group Coxeter–Dynkin diagram Diagram (category theory) Diameter Dimension Discrete valuation Division algebra Dot product Dynkin diagram E6 (mathematics) E7 (mathematics) E8 (mathematics) Empty set Equipollence (geometry) Equivalence class Equivalence relation Euclidean geometry Euclidean space Existential quantification Free monoid Fundamental domain Hyperplane Infimum and supremum Jacques Tits K0 Linear combination Mathematical induction Metric space Multiple edges Multiplicative inverse Number theory Octonion Parameter Permutation group Permutation Pointwise Polygon Projective line Quadratic form Quaternion Remainder Root datum Root system Scientific notation Sphere Subgroup Subring Subset Substructure Theorem Topology of uniform convergence Topology Torus Tree (data structure) Tree structure Two-dimensional space Uniform continuity Valuation (algebra) Vector space Without loss of generality |
| ISBN |
1-282-45836-1
9786612458361 1-4008-2905-4 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Affine Coxeter Diagrams -- Chapter 2. Root Systems -- Chapter 3. Root Data with Valuation -- Chapter 4. Sectors -- Chapter 5. Faces -- Chapter 6. Gems -- Chapter 7. Affine Buildings -- Chapter 8. The Building at Infinity -- Chapter 9. Trees with Valuation -- Chapter 10. Wall Trees -- Chapter 11. Panel Trees -- Chapter 12. Tree-Preserving Isomorphisms -- Chapter 13. The Moufang Property at Infinity -- Chapter 14. Existence -- Chapter 15. Partial Valuations -- Chapter 16. Bruhat-Tits Theory -- Chapter 17. Completions -- Chapter 18. Automorphisms and Residues -- Chapter 19. Quadrangles of Quadratic Form Type -- Chapter 20. Quadrangles of Indifferent Type -- Chapter 21. Quadrangles of Type E6, E7 and E8 -- Chapter 22. Quadrangles of Type F4 -- Chapter 23. Quadrangles of Involutory Type -- Chapter 24. Pseudo-Quadratic Quadrangles -- Chapter 25. Hexagons -- Chapter 26. Assorted Conclusions -- Chapter 27. Summary of the Classification -- Chapter 28. Locally Finite Bruhat-Tits Buildings -- Chapter 29. Appendix A -- Chapter 30. Appendix B -- Bibliography -- Index |
| Record Nr. | UNINA-9910780926103321 |
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Weiss Richard M (Richard Mark), <1946->
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| Princeton, N.J., : Princeton University Press, c2009 | ||
| 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 | ||
| ||