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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 | ||
| ||
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 | ||
| ||
Characters and cyclotomic fields in finite geometry / Bernhard Schmidt
| Characters and cyclotomic fields in finite geometry / Bernhard Schmidt |
| Autore | Schmidt, Bernhard |
| Pubbl/distr/stampa | Berlin, : Springer, 2002 |
| Descrizione fisica | VIII, 100 p. ; 24 cm |
| Soggetto topico |
05B25 - Combinatorial aspects of finite geometries [MSC 2020]
05B20 - Combinatorial aspects of matrices (incidence, Hadamard, etc.) [MSC 2020] 05B10 - Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) [MSC 2020] |
| Soggetto non controllato |
Barker sequences
Circulant Hadamard matrices Combinatorics Differences sets Finite geometry Irreducible cyclic codes |
| ISBN | 978-35-404-4243-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0051405 |
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Schmidt, Bernhard
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| Berlin, : Springer, 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Characters and cyclotomic fields in finite geometry / Bernhard Schmidt
| Characters and cyclotomic fields in finite geometry / Bernhard Schmidt |
| Autore | Schmidt, Bernhard |
| Pubbl/distr/stampa | Berlin, : Springer, 2002 |
| Descrizione fisica | VIII, 100 p. ; 24 cm |
| Soggetto topico |
05B10 - Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) [MSC 2020]
05B20 - Combinatorial aspects of matrices (incidence, Hadamard, etc.) [MSC 2020] 05B25 - Combinatorial aspects of finite geometries [MSC 2020] |
| Soggetto non controllato |
Barker sequences
Circulant Hadamard matrices Combinatorics Differences sets Finite geometry Irreducible cyclic codes |
| ISBN | 978-35-404-4243-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00051405 |
|
Schmidt, Bernhard
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| Berlin, : Springer, 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Combinatorial Mathematics 10. : Proceedings of the Conference Held in Adelaide, Australia, August 23-27, 1982 / edited by L. R. A. Casse
| Combinatorial Mathematics 10. : Proceedings of the Conference Held in Adelaide, Australia, August 23-27, 1982 / edited by L. R. A. Casse |
| Pubbl/distr/stampa | Berlin, : Springer, 1983 |
| Descrizione fisica | CDXXXVI, 422 p. ; 24 cm |
| Soggetto non controllato |
Automorphisms
Combinatorics Computation Finite geometry Forms Geometry Graphs Hadamard Mapping Mathematics Matrices Modeling Modelling Stability Stochastic processes |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0262644 |
| Berlin, : Springer, 1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Combinatorial Mathematics 10. : Proceedings of the Conference Held in Adelaide, Australia, August 23-27, 1982 / edited by L. R. A. Casse
| Combinatorial Mathematics 10. : Proceedings of the Conference Held in Adelaide, Australia, August 23-27, 1982 / edited by L. R. A. Casse |
| Pubbl/distr/stampa | Berlin, : Springer, 1983 |
| Descrizione fisica | CDXXXVI, 422 p. ; 24 cm |
| Soggetto non controllato |
Automorphisms
Combinatorics Computation Finite geometry Forms Geometry Graphs Hadamard Mapping Mathematics Matrices Modeling Modelling Stability Stochastic processes |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00262644 |
| Berlin, : Springer, 1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Combinatorics and Finite Geometry / Steven T. Dougherty
| Combinatorics and Finite Geometry / Steven T. Dougherty |
| Autore | Dougherty, Steven T. |
| Pubbl/distr/stampa | Cham, : Springer, 2020 |
| Descrizione fisica | xv, 369 p. : ill. ; 24 cm |
| Soggetto topico |
94A60 - Cryptography [MSC 2020]
51-XX - Geometry [MSC 2020] 05-XX - Combinatorics [MSC 2020] 60Cxx - Combinatorial probability [MSC 2020] 60-XX - Probability theory and stochastic processes [MSC 2020] 05B15 - Orthogonal arrays, Latin squares, Room squares [MSC 2020] 94Bxx - Theory of error-correcting codes and error-detecting codes [MSC 2020] 05B25 - Combinatorial aspects of finite geometries [MSC 2020] 62E10 - Characterization and structure theory of statistical distributions [MSC 2020] |
| Soggetto non controllato |
Coding theory
Combinatorial games Combinatorics Cryptography Design theory Error-Correcting Codes Finite geometry Graph theory Hadamard matrices Latin squares Partially ordered sets Projective Plane |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0248797 |
|
Dougherty, Steven T.
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| Cham, : Springer, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Combinatorics and Finite Geometry / Steven T. Dougherty
| Combinatorics and Finite Geometry / Steven T. Dougherty |
| Autore | Dougherty, Steven T. |
| Pubbl/distr/stampa | Cham, : Springer, 2020 |
| Descrizione fisica | xv, 369 p. : ill. ; 24 cm |
| Soggetto topico |
05-XX - Combinatorics [MSC 2020]
05B15 - Orthogonal arrays, Latin squares, Room squares [MSC 2020] 05B25 - Combinatorial aspects of finite geometries [MSC 2020] 51-XX - Geometry [MSC 2020] 60-XX - Probability theory and stochastic processes [MSC 2020] 60Cxx - Combinatorial probability [MSC 2020] 62E10 - Characterization and structure theory of statistical distributions [MSC 2020] 94A60 - Cryptography [MSC 2020] 94Bxx - Theory of error-correcting codes and error-detecting codes [MSC 2020] |
| Soggetto non controllato |
Coding theory
Combinatorial games Combinatorics Cryptography Design theory Error-Correcting Codes Finite geometry Graph theory Hadamard matrices Latin squares Partially ordered sets Projective Plane |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00248797 |
|
Dougherty, Steven T.
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||
| Cham, : Springer, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
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.
|
||
| London, : Springer, 2016 - XVII, 409 p., : ill. ; 24 cm | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
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.
|
||
| London, : Springer, 2016 - XVII, 409 p., : ill. ; 24 cm | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
