Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart |
Autore | Gelbart Stephen S. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (280 pages) |
Disciplina | 512/.22 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Representations of groups
Automorphic forms Linear algebraic groups Adeles |
Soggetto non controllato |
Abelian extension
Abelian group Absolute value Addition Additive group Algebraic group Algebraic number field Algebraic number theory Analytic continuation Analytic function Arbitrarily large Automorphic form Cartan subgroup Class field theory Complex space Congruence subgroup Conjugacy class Coprime integers Cusp form Differential equation Dimension (vector space) Direct integral Direct sum Division algebra Eigenfunction Eigenvalues and eigenvectors Eisenstein series Euler product Existential quantification Exponential function Factorization Finite field Formal power series Fourier series Fourier transform Fuchsian group Function (mathematics) Function space Functional equation Fundamental unit (number theory) Galois extension Global field Group algebra Group representation Haar measure Harish-Chandra Hecke L-function Hilbert space Homomorphism Induced representation Infinite product Inner automorphism Integer Invariant measure Invariant subspace Irreducible representation L-function Lie algebra Linear map Matrix coefficient Mellin transform Meromorphic function Modular form P-adic number Poisson summation formula Prime ideal Prime number Principal series representation Projective representation Quadratic field Quadratic form Quaternion algebra Quaternion Real number Regular representation Representation theory Ring (mathematics) Ring of integers Scientific notation Selberg trace formula Simple algebra Square-integrable function Sub"ient Subgroup Summation Theorem Theory Theta function Topological group Topology Trace formula Trivial representation Uniqueness theorem Unitary operator Unitary representation Universal enveloping algebra Upper half-plane Variable (mathematics) Vector space Weil group |
ISBN | 1-4008-8161-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- §1. THE CLASSICAL THEORY -- §2. AUTOMORPHIC FORMS AND THE DECOMPOSITION OF L2(ΓSL(2,ℝ)) -- §3. AUTOMORPHIC FORMS AS FUNCTIONS ON THE ADELE GROUP OF GL(2) -- §4. THE REPRESENTATIONS OF GL(2) OVER LOCAL AND GLOBAL FIELDS -- §5 . CUSP FORMS AND REPRESENTATIONS OF THE ADELE GROUP OF GL(2) -- §6. HECKE THEORY FOR GL(2) -- §7 . THE CONSTRUCTION OF A SPECIAL CLASS OF AUTOMORPHIC FORMS -- § 8 . EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM -- §9. THE TRACE FORMULA FOR GL(2) -- §10. AUTOMORPHIC FORMS ON A QUATERNION ALGEBRA -- BIBLIOGRAPHY -- INDEX |
Record Nr. | UNINA-9910154753203321 |
Gelbart Stephen S.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / / Jonathan David Rogawski |
Autore | Rogawski Jonathan David |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (273 pages) |
Disciplina | 512/.2 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Unitary groups
Trace formulas Representations of groups Automorphic forms |
Soggetto non controllato |
Abelian group
Abuse of notation Addition Admissible representation Algebraic closure Algebraic group Algebraic number field Asymptotic expansion Automorphism Base change map Base change Bijection Borel subgroup Cartan subgroup Class function (algebra) Coefficient Combination Compact group Complementary series representation Complex number Congruence subgroup Conjugacy class Continuous function Corollary Countable set Diagram (category theory) Differential operator Dimension (vector space) Dimension Discrete spectrum Division algebra Division by zero Eigenvalues and eigenvectors Embedding Equation Existential quantification Finite set Fourier transform Fundamental lemma (Langlands program) G factor (psychometrics) Galois group Global field Haar measure Hecke algebra Homomorphism Hyperbolic set Index notation Irreducible representation Isomorphism class L-function Langlands classification Linear combination Local field Mathematical induction Maximal compact subgroup Maximal torus Morphism Multiplicative group Neighbourhood (mathematics) Orbital integral Oscillator representation P-adic number Parity (mathematics) Principal series representation Quaternion algebra Quaternion Reductive group Regular element Remainder Representation theory Ring of integers Scientific notation Semisimple algebra Set (mathematics) Shimura variety Simple algebra Smoothness Special case Stable distribution Subgroup Summation Support (mathematics) Tate conjecture Tensor product Theorem Trace formula Triangular matrix Unitary group Variable (mathematics) Weight function Weil group |
ISBN | 1-4008-8244-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Introduction -- Chapter 1. Preliminary definitions and notation -- Chapter 2. The trace formula -- Chapter 3. Stable conjugacy -- Chapter 4. Orbital integrals and endoscopic groups -- Chapter 5. Stabilization -- Chapter 6. Weighted orbital integrals -- Chapter 7. Elliptic singular terms -- Chapter 8. Germ expansions and limit formulas -- Chapter 9. Singularities -- Chapter 10. The stable trace formula -- Chapter 11. The Unitary group in two variables -- Chapter 12. Representation theory -- Chapter 13. Automorphic representations -- Chapter 14. Comparison of inner forms -- Chapter 15. Additional results -- References -- Subject Index -- Notation Index |
Record Nr. | UNINA-9910154747203321 |
Rogawski Jonathan David
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz |
Autore | Katz Nicholas M. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (445 pages) : illustrations |
Disciplina | 512/.73 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Exponential sums
Differential equations |
Soggetto non controllato |
Adjoint representation
Algebraic geometry Algebraic integer Algebraically closed field Automorphism Base change Bernard Dwork Big O notation Bijection Calculation Characteristic polynomial Codimension Coefficient Cohomology Comparison theorem Complex manifold Conjugacy class Connected component (graph theory) Convolution Determinant Diagram (category theory) Differential Galois theory Differential equation Dimension (vector space) Dimension Direct sum Divisor Eigenvalues and eigenvectors Endomorphism Equation Euler characteristic Existential quantification Exponential sum Fiber bundle Field of fractions Finite field Formal power series Fourier transform Fundamental group Fundamental representation Galois extension Galois group Gauss sum Generic point Group theory Homomorphism Hypergeometric function Identity component Identity element Integer Irreducibility (mathematics) Irreducible representation Isogeny Isomorphism class L-function Laurent polynomial Lie algebra Logarithm Mathematical induction Matrix coefficient Maximal compact subgroup Maximal torus Mellin transform Monic polynomial Monodromy theorem Monodromy Monomial Natural number Normal subgroup P-adic number Permutation Polynomial Prime number Pullback Quotient group Reductive group Regular singular point Representation theory Ring homomorphism Root of unity Scientific notation Set (mathematics) Sheaf (mathematics) Special case Subcategory Subgroup Subring Subset Summation Surjective function Symmetric group Tensor product Theorem Theory Three-dimensional space (mathematics) Torsor (algebraic geometry) Trichotomy (mathematics) Unitarian trick Unitary group Variable (mathematics) |
ISBN | 1-4008-8243-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- CHAPTER 1. Results from Representation Theory -- CHAPTER 2. D.E.'s and D-modules -- CHAPTER 3. The Generalized Hypergeometric Equation -- CHAPTER 4. Detailed Analysis of the Exceptional Cases -- CHAPTER 5. Convolution of D-modules -- CHAPTER 6. Fourier Transforms of Kummer Pullbacks of Hypergeometrics -- CHAPTER 7. The ℓ- adic Theory -- CHAPTER 8. ℓ-adic Hypergeometrics -- CHAPTER 9. G2 Examples, Fourier Transforms, and Hypergeometrics -- CHAPTER 10. ℓ -adic Exceptional Cases -- CHAPTER 11. Reductive Tannakian Categories -- CHAPTER 12. Fourier Universality -- CHAPTER 13. Stratifications and Convolution -- CHAPTER 14. The Fundamental Comparison Theorems -- References |
Record Nr. | UNINA-9910154744703321 |
Katz Nicholas M.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 / / Nicholas M. Katz |
Autore | Katz Nicholas M. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (257 pages) : illustrations |
Disciplina | 512/.7 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Gaussian sums
Kloosterman sums Homology theory Monodromy groups |
Soggetto non controllato |
Abelian category
Absolute Galois group Absolute value Additive group Adjoint representation Affine variety Algebraic group Automorphic form Automorphism Big O notation Cartan subalgebra Characteristic polynomial Classification theorem Coefficient Cohomology Cokernel Combination Commutator Compactification (mathematics) Complex Lie group Complex number Conjugacy class Continuous function Convolution theorem Convolution Determinant Diagonal matrix Dimension (vector space) Direct sum Dual basis Eigenvalues and eigenvectors Empty set Endomorphism Equidistribution theorem Estimation Exactness Existential quantification Exponential sum Exterior algebra Faithful representation Finite field Finite group Four-dimensional space Frobenius endomorphism Fundamental group Fundamental representation Galois group Gauss sum Homomorphism Integer Irreducibility (mathematics) Isomorphism class Kloosterman sum L-function Leray spectral sequence Lie algebra Lie theory Maximal compact subgroup Method of moments (statistics) Monodromy theorem Monodromy Morphism Multiplicative group Natural number Nilpotent Open problem P-group Pairing Parameter space Parameter Partially ordered set Perfect field Point at infinity Polynomial ring Prime number Quotient group Representation ring Representation theory Residue field Riemann hypothesis Root of unity Sheaf (mathematics) Simple Lie group Skew-symmetric matrix Smooth morphism Special case Spin representation Subgroup Support (mathematics) Symmetric matrix Symplectic group Symplectic vector space Tensor product Theorem Trace (linear algebra) Trivial representation Variable (mathematics) Weil conjectures Weyl character formula Zariski topology |
ISBN | 1-4008-8212-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- CHAPTER 1. Breaks and Swan Conductors -- CHAPTER 2. Curves and Their Cohomology -- CHAPTER 3. Equidistribution in Equal Characteristic -- CHAPTER 4. Gauss Sums and Kloosterman Sums: Kloosterman Sheaves -- CHAPTER 5. Convolution of Sheaves on Gm -- CHAPTER 6. Local Convolution -- CHAPTER 7. Local Monodromy at Zero of a Convolution: Detailed Study -- CHAPTER 8. Complements on Convolution -- CHAPTER 9. Equidistribution in (S1)r of r-tuples of Angles of Gauss Sums -- CHAPTER 10. Local Monodromy at ∞ of Kloosterman Sheaves -- CHAPTER 11. Global Monodromy of Kloosterman Sheaves -- CHAPTER 12. Integral Monodromy of Kloosterman Sheaves (d'après O. Gabber) -- CHAPTER 13. Equidistribution of "Angles" of Kloosterman Sums -- References |
Record Nr. | UNINA-9910154750003321 |
Katz Nicholas M.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Lectures on P-Adic L-Functions. (AM-74), Volume 74 / / Kinkichi Iwasawa |
Autore | Iwasawa Kinkichi |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (116 pages) |
Disciplina | 512/.74 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
L-functions
Algebraic number theory |
Soggetto non controllato |
Abelian extension
Absolute value Algebraic closure Algebraic number field Algebraic number theory Algebraic number Algebraically closed field Arithmetic function Class field theory Complex number Conjecture Cyclotomic field Dirichlet character Existential quantification Finite group Integer L-function Mellin transform Meromorphic function Multiplicative group P-adic L-function P-adic number Power series Prime number Quadratic field Rational number Real number Root of unity Scientific notation Series (mathematics) Special case Subgroup Theorem Topology |
ISBN | 1-4008-8170-6 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE / Iwasawa, Kenkichi -- CONTENTS -- §1. DIRICHLET'S L-FUNCTIONS -- §2. GENERALIZED BERNOULLI NUMBERS -- §3. p-ADIC L-FUNCTIONS -- §4. p-ADIC LOGARITHMS AND p-ADIC REGULATORS -- §5. CALCULATION OF Lp (1; χ) -- §6. AN ALTERNATE METHOD -- §7. SOME APPLICATIONS -- APPENDIX -- BIBLIOGRAPHY |
Record Nr. | UNINA-9910154753503321 |
Iwasawa Kinkichi
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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On the cohomology of certain noncompact Shimura varieties [[electronic resource] /] / Sophie Morel; with an appendix by Robert Kottwitz |
Autore | Morel Sophie <1979-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2010 |
Descrizione fisica | 1 online resource (231 p.) |
Disciplina | 516.3/52 |
Collana | Annals of mathematics |
Soggetto topico |
Shimura varieties
Homology theory |
Soggetto non controllato |
Accuracy and precision
Adjoint Algebraic closure Archimedean property Automorphism Base change map Base change Calculation Clay Mathematics Institute Coefficient Compact element Compact space Comparison theorem Conjecture Connected space Connectedness Constant term Corollary Duality (mathematics) Existential quantification Exterior algebra Finite field Finite set Fundamental lemma (Langlands program) Galois group General linear group Haar measure Hecke algebra Homomorphism L-function Logarithm Mathematical induction Mathematician Maximal compact subgroup Maximal ideal Morphism Neighbourhood (mathematics) Open set Parabolic induction Permutation Prime number Ramanujan–Petersson conjecture Reductive group Ring (mathematics) Scientific notation Shimura variety Simply connected space Special case Sub"ient Subalgebra Subgroup Symplectic group Theorem Trace formula Unitary group Weyl group |
ISBN |
1-282-45800-0
1-282-93632-8 9786612936326 9786612458002 1-4008-3539-9 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. The fixed point formula -- Chapter 2. The groups -- Chapter 3. Discrete series -- Chapter 4. Orbital integrals at p -- Chapter 5. The geometric side of the stable trace formula -- Chapter 6. Stabilization of the fixed point formula -- Chapter 7. Applications -- Chapter 8. The twisted trace formula -- Chapter 9. The twisted fundamental lemma -- Appendix. Comparison of two versions of twisted transfer factors -- Bibliography -- Index |
Record Nr. | UNINA-9910780861803321 |
Morel Sophie <1979->
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Princeton, : Princeton University Press, c2010 | ||
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Lo trovi qui: Univ. Federico II | ||
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Order-Preserving Maps and Integration Processes. (AM-31), Volume 31 / / Edward J. McShane |
Autore | McShane Edward J. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (148 pages) |
Disciplina | 512.86 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Group theory
Integrals |
Soggetto non controllato |
Abelian group
Addition Axiom Baire function Banach space Big O notation Binary operation Binary relation Borel set Bounded function Cartesian product Characteristic function (probability theory) Circumference Closure (mathematics) Coefficient Combination Commutative algebra Compact space Complete lattice Continuous function (set theory) Continuous function Contradiction Corollary Coset Countable set Directed set Domain of a function Elementary function Empty set Equation Equivalence class Estimation Existential quantification Finite set Fubini's theorem Hilbert space I0 Infimum and supremum Integer L-function Lattice (order) Lebesgue integration Limit (mathematics) Limit superior and limit inferior Linear map Measure (mathematics) Monotonic function Natural number Order of operations Parity (mathematics) Partially ordered group Partially ordered set Pointwise convergence Pointwise Polynomial Projection (linear algebra) Quadratic function Real number Requirement Riemann integral Riemann–Stieltjes integral Scalar multiplication Scientific notation Self-adjoint operator Set (mathematics) Set function Sign (mathematics) Special case Subset Subtraction Summation Theorem Unification (computer science) Upper and lower bounds |
ISBN | 1-4008-8230-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER I. PARTIALLY ORDERED SETS AND SYSTEMS -- CHAPTER II. DEFINITION OF THE MAPPING -- CHAPTER III. LATTICE PROPERTIES, CONVERGENCE AND MEASURABILITY -- CHAPTER IV. ALGEBRAIC OPERATIONS -- CHAPTER V. REAL-VALUED FUNCTIONS -- CHAPTER VI. APPLICATIONS -- BIBLIOGRAPHY -- Backmatter |
Record Nr. | UNINA-9910154751203321 |
McShane Edward J.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120 / / Laurent Clozel, James Arthur |
Autore | Arthur James |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (248 pages) : illustrations |
Disciplina | 512/.2 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Representations of groups
Trace formulas Automorphic forms |
Soggetto non controllato |
0E
Addition Admissible representation Algebraic group Algebraic number field Approximation Archimedean property Automorphic form Automorphism Base change Big O notation Binomial coefficient Canonical map Cartan subalgebra Cartan subgroup Central simple algebra Characteristic polynomial Closure (mathematics) Combination Computation Conjecture Conjugacy class Connected component (graph theory) Continuous function Contradiction Corollary Counting Coxeter element Cusp form Cyclic permutation Dense set Density theorem Determinant Diagram (category theory) Discrete series representation Discrete spectrum Division algebra Eigenvalues and eigenvectors Eisenstein series Exact sequence Existential quantification Field extension Finite group Finite set Fourier transform Functor Fundamental lemma (Langlands program) Galois extension Galois group Global field Grothendieck group Group representation Haar measure Harmonic analysis Hecke algebra Hilbert's Theorem 90 Identity component Induced representation Infinite product Infinitesimal character Invariant measure Irreducibility (mathematics) Irreducible representation L-function Langlands classification Laurent series Lie algebra Lie group Linear algebraic group Local field Mathematical induction Maximal compact subgroup Multiplicative group Nilpotent group Orbital integral P-adic number Paley–Wiener theorem Parameter Parametrization Permutation Poisson summation formula Real number Reciprocal lattice Reductive group Root of unity Scientific notation Semidirect product Special case Spherical harmonics Subgroup Subset Summation Support (mathematics) Tensor product Theorem Trace formula Unitary representation Weil group Weyl group Zero of a function |
ISBN | 1-4008-8240-0 |
Classificazione | SK 240 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Local Results -- Chapter 2. The Global Comparison -- Chapter 3. Base Change -- Bibliography |
Record Nr. | UNINA-9910154743703321 |
Arthur James
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Twisted L-functions and monodromy [[electronic resource] /] / by Nicholas M. Katz |
Autore | Katz Nicholas M. <1943-> |
Edizione | [Core Textbook] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, 2002 |
Descrizione fisica | 1 online resource (258 p.) |
Disciplina | 512/.74 |
Collana | Annals of mathematics studies |
Soggetto topico |
L-functions
Monodromy groups |
Soggetto non controllato |
Abelian variety
Absolute continuity Addition Affine space Algebraically closed field Ambient space Average Betti number Birch and Swinnerton-Dyer conjecture Blowing up Codimension Coefficient Computation Conjecture Conjugacy class Convolution Critical value Differential geometry of surfaces Dimension (vector space) Dimension Direct sum Divisor (algebraic geometry) Divisor Eigenvalues and eigenvectors Elliptic curve Equation Equidistribution theorem Existential quantification Factorization Finite field Finite group Finite set Flat map Fourier transform Function field Functional equation Goursat's lemma Ground field Group representation Hyperplane Hypersurface Integer matrix Integer Irreducible component Irreducible polynomial Irreducible representation J-invariant K3 surface L-function Lebesgue measure Lefschetz pencil Level of measurement Lie algebra Limit superior and limit inferior Minimal polynomial (field theory) Modular form Monodromy Morphism Numerical analysis Orthogonal group Percentage Polynomial Prime number Probability measure Quadratic function Quantity Quotient space (topology) Representation theory Residue field Riemann hypothesis Root of unity Scalar (physics) Set (mathematics) Sheaf (mathematics) Subgroup Summation Symmetric group System of imprimitivity Theorem Trivial representation Zariski topology |
ISBN |
1-282-82089-3
9786612820892 1-4008-2488-5 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | pt. 1. Background material -- pt. 2. Twist sheaves, over an algebraically closed field -- pt. 3. Twist sheaves, over a finite field -- pt. 4. Twist sheaves over schemes of finite type over Z. |
Record Nr. | UNINA-9910785573203321 |
Katz Nicholas M. <1943->
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Princeton, : Princeton University Press, 2002 | ||
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Lo trovi qui: Univ. Federico II | ||
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