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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->  
Princeton, New Jersey : , : Princeton University Press, , 2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
Meromorphic Functions and Analytic Curves. (AM-12) / / Hermann Weyl
Meromorphic Functions and Analytic Curves. (AM-12) / / Hermann Weyl
Autore Weyl Hermann
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (285 pages) : illustrations
Disciplina 517.5
Collana Annals of Mathematics Studies
Soggetto topico Functions
Soggetto non controllato Algebraic curve
Algebraic equation
Algebraic function
Algebraic surface
Analytic continuation
Analytic function
Arc (geometry)
Argument principle
Basis (linear algebra)
Bernhard Riemann
Betti number
Big O notation
Boundary value problem
C-function
C0
Characteristic function (probability theory)
Circumference
Coefficient
Combination
Compact Riemann surface
Compact space
Complex analysis
Complex number
Computation
Concentric
Conformal map
Continuous function
Coordinate system
Degeneracy (mathematics)
Derivative
Diameter
Differential form
Dimension
Disk (mathematics)
Dual curve
Entire function
Equation
Equidistant
Euler characteristic
Existential quantification
Exponential function
Exterior (topology)
Floor and ceiling functions
Fundamental theorem
Gauge factor
General position
Geometry
Harmonic function
Heine–Borel theorem
Hermann Weyl
Homogeneous coordinates
Improper integral
Integer
Interior (topology)
Inverse function
Limit superior and limit inferior
Line integral
Linear differential equation
Linear map
Local parameter
Logarithm
Logarithmic derivative
Mathematics
Maximum principle
Meromorphic function
Modular form
Modular group
Moduli (physics)
Monodromy theorem
Multiple integral
Natural number
Notation
Order by
Parallelepiped
Parameter
Polyad
Polynomial
Power series
Prime number
Probability
Projection (mathematics)
Quantity
Rational function
Real variable
Rectangle
Residue theorem
Riemann integral
Riemann surface
Rotational symmetry
Second derivative
Simply connected space
Subset
Summation
Theorem
Theory
Topological space
Total order
Unit circle
Unit vector
Variable (mathematics)
ISBN 1-4008-8228-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION. EARLY HISTORY AND BIBLIOGRAPHY -- CHAPTER I. GEOMETRIC AND FUNCTION-THEORETIC FOUNDATIONS -- CHAPTER II. FIRST MAIN THEOREM FOR MEROMORPHIC CURVES -- CHAPTER III. THE SECOND MAIN THEOREM FOR MEROMORPHIC CURVES -- CHAPTER IV. FIRST AND SECOND MAIN THEOREMS FOR ANALYTIC CURVES -- CHAPTER V. THE DEFECT RELATIONS -- Backmatter
Record Nr. UNINA-9910154746403321
Weyl Hermann  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui