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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
Lectures on Differential Equations. (AM-14), Volume 14 / / Solomon Lefschetz
Lectures on Differential Equations. (AM-14), Volume 14 / / Solomon Lefschetz
Autore Lefschetz Solomon
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (221 pages)
Disciplina 517.38
Collana Annals of Mathematics Studies
Soggetto topico Differential equations
Soggetto non controllato Abscissa
Absolute value
Addition
Adjoint
Algebraic topology
Antiderivative
Approximation
Canonical form
Cartesian coordinate system
Characteristic equation
Characteristic exponent
Circumference
Coefficient matrix
Coefficient
Compact space
Complex number
Complex plane
Complex-valued function
Condition index
Conformal map
Connected space
Conservation of energy
Continuous function
Convex hull
Coordinate system
Corollary
Degrees of freedom (statistics)
Derivative
Determinant
Diagram (category theory)
Differentiable function
Differential equation
Dimension
Dissipation
Eigenvalues and eigenvectors
Empty set
Entire function
Equation
Euclidean geometry
Euclidean space
Existence theorem
Existential quantification
Exterior (topology)
Holomorphic function
Homogeneous polynomial
Inflection point
Initial point
Integer
Intersection (set theory)
Jacobian matrix and determinant
Jordan curve theorem
Limit point
Limit set
Line at infinity
Linear differential equation
Linear map
Lipschitz continuity
Lyapunov stability
Mathematical physics
Mathematician
Matrix function
Maximal set
Monotonic function
Nonlinear system
Notation
Open set
Parameter
Parametric equation
Partial derivative
Periodic function
Phase space
Polar coordinate system
Polynomial
Power series
Projective geometry
Projective plane
Quadratic
Radius of convergence
Rectangle
Regular representation
Saddle point
Separatrix (mathematics)
Set theory
Simple polygon
Solomon Lefschetz
Special case
Spherical cap
Stereographic projection
Subset
Summation
Theorem
Theory
Topological property
Toroid
Two-dimensional space
Uniform convergence
Upper and lower bounds
Variable (mathematics)
Vector space
Zero of a function
ISBN 1-4008-8194-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER I. SOME PRELIMINARY QUESTIONS -- CHAPTER II. DIFFERENTIAL EQUATIONS -- CHAPTER III. LINEAR SYSTEMS -- CHAPTER IV. CRITICAL POINTS AND PERIODIC MOTIONS QUESTIONS OF STABILITY -- CHAPTER V. TWO DIMENSIONAL SYSTEMS -- CHAPTER VI. APPLICATION TO CERTAIN EQUATIONS' OF THE SECOND ORDER -- INDEX
Record Nr. UNINA-9910154749803321
Lefschetz Solomon  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / / Richard S. Palais
Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / / Richard S. Palais
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (379 pages)
Disciplina 513.83
Collana Annals of Mathematics Studies
Soggetto topico Atiyah-Singer index theorem
Differential topology
Homology theory
Soggetto non controllato Addition
Adjoint
Algebraic topology
Algebraic variety
Almost complex manifold
Arf invariant
Asymptotic expansion
Atiyah–Singer index theorem
Automorphism
Axiom
Banach space
Big O notation
Boundary value problem
Bounded operator
Characteristic class
Chern class
Cohomology
Cokernel
Compact operator
Complex vector bundle
Computation
Connected component (graph theory)
Coordinate system
Corollary
Cotangent bundle
Differentiable function
Differentiable manifold
Differential operator
Dimension (vector space)
Dimension
Disjoint union
Division by zero
Elliptic operator
Elliptic partial differential equation
Equivalence class
Euclidean space
Euler class
Exact sequence
Existential quantification
Fiber bundle
Formal power series
Fourier transform
Fredholm operator
Functional analysis
Gelfand
Grothendieck group
H-cobordism
Hilbert space
Hodge theory
Homogeneous polynomial
Homomorphism
Homotopy
Indeterminate (variable)
Injective function
Integer
Isomorphism class
Jet bundle
K-theory
L-theory
Linear map
Manifold
Michael Atiyah
Natural transformation
Normal bundle
Orientability
Pairing
Partial differential equation
Polynomial ring
Polynomial
Principal bundle
Projection (mathematics)
Riemann–Roch theorem
Ring (mathematics)
Robert M. Solovay
Sign convention
Singular integral
Sobolev inequality
Spanning tree
Special case
Subgroup
Submanifold
Subring
Suggestion
Summation
Surjective function
Symmetric bilinear form
Symmetric function
Tangent bundle
Tangent space
Tensor product
Theorem
Todd class
Topological vector space
Uniqueness theorem
Vector bundle
Vector space
ISBN 1-4008-8204-4
Classificazione SK 350
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- PREFACE / Palais, Richard S. -- CHAPTER I. STATEMENT OF THE THEOREM OUTLINE OF THE PROOF / Borel, A. -- CHAPTER II. REVIEW OF K-THEORY / Solovay, Robert -- CHAPTER III. THE TOPOLOGICAL INDEX OF AN OPERATOR ASSOCIATED TO A G-STRUCTURE / Solovay, Robert -- CHAPTER IV. DIFFERENTIAL OPERATORS ON VECTOR BUNDLES / Palais, Richard S. -- CHAPTER V. ANALYTICAL INDICES OF SOME CONCRETE OPERATORS / Solovay, Robert M. -- CHAPTER VI. REVIEW OF FUNCTIONAL ANALYSIS / Palais, Richard S. -- CHAPTER VII. FREDHDIM OPERATORS / Palais, Richard S. -- CHAPTER VIII. CHAINS OP HILBERTIAN SPACES / Palais, Richard S. -- CHAPTER IX. THE DISCRETE SOBOLEV CHAIN OF A VECTOR BUNDLE / Palais, Richard S. -- CHAPTER X. THE CONTINUOUS SOBOLEV CHAIN OF A VECTOR BUNDLE / Palais, Richard S. -- CHAPTER XI. THE SEELEY ALGEBRA / Palais, Richard S. -- CHAPTER XII. HOMOTOPY INVARIANCE OF THE INDEX / Palaie, Richard S. -- CHAPTER XIII. WHITNEY SUMS / Palais, Richard S. -- CHAPTER XIV. TENSOR PRODUCTS / Palais, Richard S. -- CHAPTER XV. DEFINITION OF ia AND it ON K(M) / Solovay, Robert M. -- CHAPTER XVI. CONSTRUCTION OF Intk / Palais, R. S. / Seeley, R. T. -- CHAPTER XVII. COBORDISM INVARIANCE OP THE ANALYTICAL INDEX / Palais, R. S. / Seeley, R. T. -- CHAPTER XVIII. BORDISM GROUPS OF BUNDLES / Floyd, E. E. -- CHAPTER XIX. THE INDEX THEOREM: APPLICATIONS / Solovay, Robert M. -- APPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY / Atiyah, M. F. -- APPENDIX II. NON-STABLE CHARACTERISTIC CLASSES AND THE TOPOLOGICAL INDEX OP CLASSICAL ELLIPTIC OPERATORS / Shih, Weishu -- Backmatter
Record Nr. UNINA-9910154746103321
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui