Algebraic curves over a finite field

This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental importance to mathematics for many years and that has essential applications in areas such as finite geometry, number theory, error-correctin...

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Bibliographic Details
Main Authors:	Hirschfeld, J. W. P, Korchmaros, Gabor, Torres, Fernando
Format:	eBook Book
Language:	English
Published:	Princeton, N.J Princeton University Press 2013
Edition:	STU - Student edition
Subjects:	Affine plane Affine space Affine variety Algebraic closure Algebraic curve Algebraic equation Algebraic extension Algebraic function Algebraic geometry Algebraic integer Algebraic number Algebraic number field Algebraic number theory Algebraic variety Algebraically closed field Automorphism Birational invariant Classification theorem Clifford's theorem Combinatorics Curves, Algebraic Cyclotomic polynomial Degeneracy (mathematics) Divisor Divisor (algebraic geometry) Dual curve Elliptic curve Equation Finite field Finite fields (Algebra) Finite geometry Function (mathematics) Function field Galois extension Galois theory Gauss map Generic point Geometry Hurwitz's theorem Hyperelliptic curve Hyperplane Intersection number (graph theory) J-invariant Line at infinity Linear map Mathematical induction MATHEMATICS MATHEMATICS / Algebra / General MATHEMATICS / Applied Menelaus' theorem Modular curve Number theory Parity (mathematics) Permutation group Plane curve Point at infinity Polar curve Polynomial Projective plane Projective space Quadratic transformation Resolution of singularities Riemann hypothesis Scalar multiplication Separable extension Separable polynomial Sign (mathematics) Subgroup Sylow theorems Theorem Transcendence degree Valuation ring Variable (mathematics) Vector space Algebraic function Polynomial Quadratic transformation Separable extension J-invariant Subgroup Algebraic integer Birational invariant Divisor (algebraic geometry) Vector space Mathematical induction Projective plane Degeneracy (mathematics) Algebraic curve Combinatorics Algebraic number theory Finite field Polar curve Intersection number (graph theory) Line at infinity Cyclotomic polynomial Function (mathematics) Hyperplane Gauss map Transcendence degree Plane curve Permutation group Riemann hypothesis Projective space Sign (mathematics) Algebraically closed field Point at infinity Mathematics Affine variety Function field Linear map Algebraic extension Sylow theorems Hyperelliptic curve Theorem Valuation ring Hurwitz's theorem Automorphism Generic point Affine plane Menelaus' theorem Equation Elliptic curve Dual curve Galois theory Modular curve Affine space Algebraic number field Variable (mathematics) Geometry Clifford's theorem Algebraic variety Resolution of singularities Finite geometry Parity (mathematics) Algebraic equation Divisor Galois extension Algebraic closure Algebraic number Separable polynomial Classification theorem Algebraic geometry Scalar multiplication Number theory
ISBN:	9781400847419, 1400847419, 9780691096797, 0691096791
Online Access:	Get full text
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