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Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 / / Barry Mazur, Nicholas M. Katz
| Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 / / Barry Mazur, Nicholas M. Katz |
| Autore | Katz Nicholas M. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (532 pages) : illustrations |
| Disciplina | 516.3/5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Curves, Elliptic
Moduli theory Geometry, Algebraic |
| Soggetto non controllato |
Abelian variety
Addition Algebraic variety Algebraically closed field Ambient space Arithmetic Axiom Barry Mazur Base change Calculation Canonical map Change of base Closed immersion Coefficient Coherent sheaf Cokernel Commutative property Congruence relation Coprime integers Corollary Cusp form Cyclic group Dense set Diagram (category theory) Dimension Discrete valuation ring Disjoint union Divisor Eigenfunction Elliptic curve Empty set Factorization Field of fractions Finite field Finite group Finite morphism Free module Functor Group (mathematics) Integer Irreducible component Level structure Local ring Maximal ideal Modular curve Modular equation Modular form Moduli space Morphism of schemes Morphism Neighbourhood (mathematics) Noetherian One-parameter group Open problem Prime factor Prime number Prime power Q.E.D. Regularity theorem Representation theory Residue field Riemann hypothesis Smoothness Special case Subgroup Subring Subset Theorem Topology Two-dimensional space Zariski topology |
| ISBN | 1-4008-8171-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- Chapter 1. GENERALITIES ON " A-STRUCTURES" AND " A-GENERATORS" -- Chapter 2. REVIEW OF ELLIPTIC CURVES -- Chapter 3. THE FOUR BASIC MODULI PROBLEMS FOR ELLIPTIC CURVES: SORITES -- Chapter 4. THE FORMALISM OF MODULI PROBLEMS -- Chapter 5. REGULARITY THEOREMS -- Chapter 6. CYCLICITY -- Chapter 7. QUOTIENTS BY FINITE GROUPS -- Chapter 8. COARSE MODULI SCHEMES, CUSPS, AND COMPACTIFICATION -- Chapter 9. MODULI PROBLEMS VIEWED OVER CYCLOTOMIC INTEGER RINGS -- Chapter 10. THE CALCULUS OF CUSPS AND COMPONENTS VIA THE GROUPS T[N], AND THE GLOBAL STRUCTURE OF THE BASIC MODULI PROBLEMS -- Chapter 11. INTERLUDE-EXOTIC MODULAR MORPHISMS AND ISOMORPHISMS -- Chapter 12. NEW MODULI PROBLEMS IN CHARACTERISTIC p; IGUSA CURVES -- Chapter 13. REDUCTIONS mod p OF THE BASIC MODULI PROBLEMS -- Chapter 14. APPLICATION TO THEOREMS OF GOOD REDUCTION -- NOTES ADDED IN PROOF -- REFERENCES |
| Record Nr. | UNINA-9910154753303321 |
Katz Nicholas M.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz
| 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 |
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Katz Nicholas M.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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An Introduction to G-Functions. (AM-133), Volume 133 / / Bernard Dwork, Francis J. Sullivan, Giovanni Gerotto
| An Introduction to G-Functions. (AM-133), Volume 133 / / Bernard Dwork, Francis J. Sullivan, Giovanni Gerotto |
| Autore | Dwork Bernard |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (349 pages) : illustrations |
| Disciplina | 515/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
H-functions
p-adic analysis |
| Soggetto non controllato |
Adjoint
Algebraic Method Algebraic closure Algebraic number field Algebraic number theory Algebraic variety Algebraically closed field Analytic continuation Analytic function Argument principle Arithmetic Automorphism Bearing (navigation) Binomial series Calculation Cardinality Cartesian coordinate system Cauchy sequence Cauchy's theorem (geometry) Coefficient Cohomology Commutative ring Complete intersection Complex analysis Conjecture Density theorem Differential equation Dimension (vector space) Direct sum Discrete valuation Eigenvalues and eigenvectors Elliptic curve Equation Equivalence class Estimation Existential quantification Exponential function Exterior algebra Field of fractions Finite field Formal power series Fuchs' theorem G-module Galois extension Galois group General linear group Generic point Geometry Hypergeometric function Identity matrix Inequality (mathematics) Intercept method Irreducible element Irreducible polynomial Laurent series Limit of a sequence Linear differential equation Lowest common denominator Mathematical induction Meromorphic function Modular arithmetic Module (mathematics) Monodromy Monotonic function Multiplicative group Natural number Newton polygon Number theory P-adic number Parameter Permutation Polygon Polynomial Projective line Q.E.D. Quadratic residue Radius of convergence Rational function Rational number Residue field Riemann hypothesis Ring of integers Root of unity Separable polynomial Sequence Siegel's lemma Special case Square root Subring Subset Summation Theorem Topology of uniform convergence Transpose Triangle inequality Unipotent Valuation ring Weil conjecture Wronskian Y-intercept |
| ISBN | 1-4008-8254-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE / Dwork, B. -- INTRODUCTION -- LIST OF SYMBOLS -- CHAPTER I. VALUED FIELDS -- CHAPTER II. ZETA FUNCTIONS -- CHAPTER III. DIFFERENTIAL EQUATIONS -- CHAPTER IV. EFFECTIVE BOUNDS. ORDINARY DISKS -- CHAPTER V. EFFECTIVE BOUNDS. SINGULAR DISKS -- CHAPTER VI. TRANSFER THEOREMS INTO DISKS WITH ONE SINGULARITY -- CHAPTER VII. DIFFERENTIAL EQUATIONS OF ARITHMETIC TYPE -- CHAPTER VIII. G-SERIES. THE THEOREM OF CHUDNOVSKY -- APPENDIX I. CONVERGENCE POLYGON FOR DIFFERENTIAL EQUATIONS -- APPENDIX II. ARCHIMEDEAN ESTIMATES -- APPENDIX III. CAUCHY'S THEOREM -- BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154744303321 |
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Dwork Bernard
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 / / David Mumford
| Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 / / David Mumford |
| Autore | Mumford David |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (221 pages) |
| Disciplina | 516.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Curves, Algebraic
Surfaces, Algebraic |
| Soggetto non controllato |
Affine space
Algebraic geometry Algebraic topology Algebraically closed field Binary operation Chern class Coherent sheaf Cohomology Complex vector bundle Dense set Differential form Direct product Family of curves Formal power series Functor Generic point Group ring Homomorphism Invertible sheaf Local ring Morphism of schemes Morphism Nonlinear system Open set Pairwise Polynomial Power series Projective space Rational function Rational point Sheaf (mathematics) Subring Summation Symmetric function Topology Union (set theory) Zariski topology Zero divisor |
| ISBN | 1-4008-8206-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- INTRODUCTION -- CONTENTS -- LECTURE 1. RAW MATERIAL ON CURVES ON SURFACES, AND THE PROBLEMS SUGGESTED -- LECTURE 2. THE FUNDAMENTAL EXISTENCE PROBLEM AND TWO ANALYTIC PROOFS -- LECTURE 3. PRE-SCHEMES AND THEIR ASSOCIATED "FUNCTOR OF POINTS" -- LECTURE 4. USES OF THE FUNCTOR OF POINTS -- APPENDIX TO LECTURE 4. RE REPRESENTABLE FUNCTORS AND ZARISKI TANGENT SPACES -- LECTURE 5. Pro j AND INVERTIBLE SHEAVES -- APPENDIX TO LECTURE 5 -- LECTURE 6. PROPERTIES OP MORPHISMS AND SHEAVES -- LECTURE 7. RESUME OF THE COHOMOLOGY OF COHERENT SHEAVES ON Pn -- LECTURE 8. FLATTENING STRATIFICATIONS -- LECTURE 9. CARTIER DIVISORS -- LECTURE 10. FUNCTORIAL PROPERTIES OF EFFECTIVE CARTIER DIVISORS -- LECTURE 11. BACK TO THE CLASSICAL CASE -- LECTURE 12. THE OVER-ALL CLASSIFICATION OF CURVES ON SURFACES -- LECTURE 13. LINEAR SYSTEMS AND EXAMPLES -- LECTURE 14. SOME VANISHING THEOREMS -- LECTURE 15. UNIVERSAL FAMILIES OF CURVES -- LECTURE 16. THE METHOD OF CHOW SCHEMES -- LECTURE 17. GOOD CURVES -- LECTURE 18. THE INDEX THEOREM -- LECTURE 19. THE PICARD SCHEME : OUTLINE -- LECTURE 20. INDEPENDENT 0-CYCLES ON A SURFACE -- LECTURE 21. THE PICARD SCHEME: CONCLUSION -- LECTURE 22. THE CHARACTERISTIC MAP OP A FAMILY OP CURVES -- LECTURE 23. THE FUNDAMENTAL THEOREM VIA KODAIRA-SPENCER -- LECTURE 24. THE STRUCTURE OF Φ -- LECTURE 25. THE FUNDAMENTAL THEOREM VIA GROTHENDIECK-CARTIER -- LECTURE 26. RING SCHEMES; THE WITT SCHEME -- APPENDICES TO LECTURE 26 APPENDICES TO LECTURE 26 -- LECTURE 27. THE FUNDAMENTAL THEOREM IN CHARACTERISTIC p -- WORKS REFERRED TO -- Backmatter |
| Record Nr. | UNINA-9910154747503321 |
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Mumford David
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lectures on resolution of singularities [[electronic resource] /] / János Kollár
| Lectures on resolution of singularities [[electronic resource] /] / János Kollár |
| Autore | Kollár János |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2007 |
| Descrizione fisica | 1 online resource (215 p.) |
| Disciplina | 516.3/5 |
| Collana | Annals of mathematics studies |
| Soggetto topico | Singularities (Mathematics) |
| Soggetto non controllato |
Adjunction formula
Algebraic closure Algebraic geometry Algebraic space Algebraic surface Algebraic variety Approximation Asymptotic analysis Automorphism Bernhard Riemann Big O notation Birational geometry C0 Canonical singularity Codimension Cohomology Commutative algebra Complex analysis Complex manifold Computability Continuous function Coordinate system Diagram (category theory) Differential geometry of surfaces Dimension Divisor Du Val singularity Dual graph Embedding Equation Equivalence relation Euclidean algorithm Factorization Functor General position Generic point Geometric genus Geometry Hyperplane Hypersurface Integral domain Intersection (set theory) Intersection number (graph theory) Intersection theory Irreducible component Isolated singularity Laurent series Line bundle Linear space (geometry) Linear subspace Mathematical induction Mathematics Maximal ideal Morphism Newton polygon Noetherian ring Noetherian Open problem Open set P-adic number Pairwise Parametric equation Partial derivative Plane curve Polynomial Power series Principal ideal Principalization (algebra) Projective space Projective variety Proper morphism Puiseux series Quasi-projective variety Rational function Regular local ring Resolution of singularities Riemann surface Ring theory Ruler Scientific notation Sheaf (mathematics) Singularity theory Smooth morphism Smoothness Special case Subring Summation Surjective function Tangent cone Tangent space Tangent Taylor series Theorem Topology Toric variety Transversal (geometry) Variable (mathematics) Weierstrass preparation theorem Weierstrass theorem Zero set |
| ISBN |
1-282-15774-4
9786612157745 1-4008-2780-9 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Resolution for Curves -- Chapter 2. Resolution for Surfaces -- Chapter 3. Strong Resolution in Characteristic Zero -- Bibliography -- Index |
| Record Nr. | UNINA-9910778222903321 |
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Kollár János
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| Princeton, N.J., : Princeton University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128 / / Douglas C. Ravenel
| Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128 / / Douglas C. Ravenel |
| Autore | Ravenel Douglas C. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (225 pages) |
| Disciplina | 514/.24 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Homotopy theory |
| Soggetto non controllato |
Abelian category
Abelian group Adams spectral sequence Additive category Affine space Algebra homomorphism Algebraic closure Algebraic structure Algebraic topology (object) Algebraic topology Algebraic variety Algebraically closed field Atiyah–Hirzebruch spectral sequence Automorphism Boolean algebra (structure) CW complex Canonical map Cantor set Category of topological spaces Category theory Classification theorem Classifying space Cohomology operation Cohomology Cokernel Commutative algebra Commutative ring Complex projective space Complex vector bundle Computation Conjecture Conjugacy class Continuous function Contractible space Coproduct Differentiable manifold Disjoint union Division algebra Equation Explicit formulae (L-function) Functor G-module Groupoid Homology (mathematics) Homomorphism Homotopy category Homotopy group Homotopy Hopf algebra Hurewicz theorem Inclusion map Infinite product Integer Inverse limit Irreducible representation Isomorphism class K-theory Loop space Mapping cone (homological algebra) Mathematical induction Modular representation theory Module (mathematics) Monomorphism Moore space Morava K-theory Morphism N-sphere Noetherian ring Noetherian Noncommutative ring Number theory P-adic number Piecewise linear manifold Polynomial ring Polynomial Power series Prime number Principal ideal domain Profinite group Reduced homology Ring (mathematics) Ring homomorphism Ring spectrum Simplicial complex Simply connected space Smash product Special case Spectral sequence Steenrod algebra Sub"ient Subalgebra Subcategory Subring Symmetric group Tensor product Theorem Topological space Topology Vector bundle Zariski topology |
| ISBN | 1-4008-8248-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Introduction -- Chapter 1. The main theorems -- Chapter 2. Homotopy groups and the chromatic filtration -- Chapter 3. MU-theory and formal group laws -- Chapter 4. Morava's orbit picture and Morava stabilizer groups -- Chapter 5. The thick subcategory theorem -- Chapter 6. The periodicity theorem -- Chapter 7. Bousfield localization and equivalence -- Chapter 8. The proofs of the localization, smash product and chromatic convergence theorems -- Chapter 9. The proof of the nilpotence theorem -- Appendix A. Some tools from homotopy theory -- Appendix B. Complex bordism and BP-theory -- Appendix C. Some idempotents associated with the symmetric group -- Bibliography -- Index |
| Record Nr. | UNINA-9910154751603321 |
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Ravenel Douglas C.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Rigid Local Systems. (AM-139), Volume 139 / / Nicholas M. Katz
| Rigid Local Systems. (AM-139), Volume 139 / / Nicholas M. Katz |
| Autore | Katz Nicholas M. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (233 pages) |
| Disciplina | 515/.35 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Differential equations - Numerical solutions
Hypergeometric functions Sheaf theory |
| Soggetto non controllato |
Additive group
Alexander Grothendieck Algebraic closure Algebraic differential equation Algebraically closed field Algorithm Analytic continuation Automorphism Axiom of choice Bernhard Riemann Big O notation Calculation Carlos Simpson Coefficient Cohomology Commutator Compactification (mathematics) Comparison theorem Complex analytic space Complex conjugate Complex manifold Conjecture Conjugacy class Convolution Corollary Cube root Cusp form De Rham cohomology Differential equation Dimension Dimensional analysis Discrete valuation ring Disjoint union Divisor Duality (mathematics) Eigenfunction Eigenvalues and eigenvectors Elliptic curve Equation Equivalence of categories Exact sequence Existential quantification Finite field Finite set Fourier transform Functor Fundamental group Generic point Ground field Hodge structure Hypergeometric function Integer Invertible matrix Isomorphism class Jordan normal form Level of measurement Linear differential equation Local system Mathematical induction Mathematics Matrix (mathematics) Monodromy Monomial Morphism Natural filtration Parameter Parity (mathematics) Perfect field Perverse sheaf Polynomial Prime number Projective representation Projective space Pullback (category theory) Pullback Rational function Regular singular point Relative dimension Residue field Ring of integers Root of unity Sequence Sesquilinear form Set (mathematics) Sheaf (mathematics) Six operations Special case Subgroup Subobject Subring Suggestion Summation Tensor product Theorem Theory Topology Triangular matrix Trivial representation Vector space Zariski topology |
| ISBN | 1-4008-8259-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- CHAPTER 1. First results on rigid local systems -- CHAPTER 2. The theory of middle convolution -- CHAPTER 3. Fourier Transform and rigidity -- CHAPTER 4. Middle convolution: dependence on parameters -- CHAPTER 5. Structure of rigid local systems -- CHAPTER 6. Existence algorithms for rigids -- CHAPTER 7. Diophantine aspects of rigidity -- CHAPTER 8. Motivic description of rigids -- CHAPTER 9. Grothendieck's p-curvature conjecture for rigids -- References |
| Record Nr. | UNINA-9910154746203321 |
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Katz Nicholas M.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 | ||
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The structure of affine buildings [[electronic resource] /] / Richard M. Weiss
| The structure of affine buildings [[electronic resource] /] / Richard M. Weiss |
| Autore | Weiss Richard M (Richard Mark), <1946-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (381 p.) |
| Disciplina | 512/.2 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Buildings (Group theory)
Moufang loops Automorphisms Affine algebraic groups |
| Soggetto non controllato |
Addition
Additive group Additive inverse Algebraic group Algebraic structure Ambient space Associative property Automorphism Big O notation Bijection Bilinear form Bounded set (topological vector space) Bounded set Calculation Cardinality Cauchy sequence Commutative property Complete graph Complete metric space Composition algebra Connected component (graph theory) Consistency Continuous function Coordinate system Corollary Coxeter group Coxeter–Dynkin diagram Diagram (category theory) Diameter Dimension Discrete valuation Division algebra Dot product Dynkin diagram E6 (mathematics) E7 (mathematics) E8 (mathematics) Empty set Equipollence (geometry) Equivalence class Equivalence relation Euclidean geometry Euclidean space Existential quantification Free monoid Fundamental domain Hyperplane Infimum and supremum Jacques Tits K0 Linear combination Mathematical induction Metric space Multiple edges Multiplicative inverse Number theory Octonion Parameter Permutation group Permutation Pointwise Polygon Projective line Quadratic form Quaternion Remainder Root datum Root system Scientific notation Sphere Subgroup Subring Subset Substructure Theorem Topology of uniform convergence Topology Torus Tree (data structure) Tree structure Two-dimensional space Uniform continuity Valuation (algebra) Vector space Without loss of generality |
| ISBN |
1-282-45836-1
9786612458361 1-4008-2905-4 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Affine Coxeter Diagrams -- Chapter 2. Root Systems -- Chapter 3. Root Data with Valuation -- Chapter 4. Sectors -- Chapter 5. Faces -- Chapter 6. Gems -- Chapter 7. Affine Buildings -- Chapter 8. The Building at Infinity -- Chapter 9. Trees with Valuation -- Chapter 10. Wall Trees -- Chapter 11. Panel Trees -- Chapter 12. Tree-Preserving Isomorphisms -- Chapter 13. The Moufang Property at Infinity -- Chapter 14. Existence -- Chapter 15. Partial Valuations -- Chapter 16. Bruhat-Tits Theory -- Chapter 17. Completions -- Chapter 18. Automorphisms and Residues -- Chapter 19. Quadrangles of Quadratic Form Type -- Chapter 20. Quadrangles of Indifferent Type -- Chapter 21. Quadrangles of Type E6, E7 and E8 -- Chapter 22. Quadrangles of Type F4 -- Chapter 23. Quadrangles of Involutory Type -- Chapter 24. Pseudo-Quadratic Quadrangles -- Chapter 25. Hexagons -- Chapter 26. Assorted Conclusions -- Chapter 27. Summary of the Classification -- Chapter 28. Locally Finite Bruhat-Tits Buildings -- Chapter 29. Appendix A -- Chapter 30. Appendix B -- Bibliography -- Index |
| Record Nr. | UNINA-9910780926103321 |
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Weiss Richard M (Richard Mark), <1946->
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| Princeton, N.J., : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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