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Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43 / / Shreeram Shankar Abhyankar
| Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43 / / Shreeram Shankar Abhyankar |
| Autore | Abhyankar Shreeram Shankar |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (117 pages) |
| Disciplina | 512.815 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic fields
Geometry, Algebraic |
| Soggetto non controllato |
Abelian group
Abstract algebra Additive group Affine variety Algebraic closure Algebraic curve Algebraic equation Algebraic function field Algebraic function Algebraic geometry Algebraic number theory Algebraic surface Algebraic variety Big O notation Birational geometry Branch point Cardinal number Cardinality Complex number Degrees of freedom (statistics) Dimension Equation Equivalence class Existential quantification Field extension Field of fractions Foundations of Algebraic Geometry Function field Galois group Generic point Ground field Homomorphism Ideal theory Integer Irrational number Irreducible component Linear algebra Local ring Mathematics Max Noether Maximal element Maximal ideal Natural number Nilpotent Noetherian ring Null set Order by Order type Parameter Primary ideal Prime ideal Prime number Projective variety Quantity Quotient ring Ramification group Rational function Rational number Real number Resolution of singularities Riemann surface Ring (mathematics) Special case Splitting field Subgroup Subset Theorem Theory of equations Transcendence degree Two-dimensional space Uniformization Valuation ring Variable (mathematics) Vector space Zero divisor Zorn's lemma |
| ISBN | 1-4008-8139-0 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION -- CHAPTER I: GENERAL RAMIFICATION THEORY -- CHAPTER II: VALUATION THEORY -- CHAPTER III: NOETHERIAN LOCAL RINGS -- CHAPTER IV: TWO-DIMENSIONAL LOCAL DOMAINS -- CHAPTER V: VARIETIES AND TRANSFORMATIONS -- BIBLIOGRAPHY |
| Record Nr. | UNINA-9910154754403321 |
Abhyankar Shreeram Shankar
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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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Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / / David Eisenbud, Walter D. Neumann
| Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / / David Eisenbud, Walter D. Neumann |
| Autore | Eisenbud David |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (184 pages) : illustration |
| Disciplina | 514.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Link theory
Invariants Curves, Plane Singularities (Mathematics) |
| Soggetto non controllato |
3-sphere
Alexander Grothendieck Alexander polynomial Algebraic curve Algebraic equation Algebraic geometry Algebraic surface Algorithm Ambient space Analytic function Approximation Big O notation Call graph Cartesian coordinate system Characteristic polynomial Closed-form expression Cohomology Computation Conjecture Connected sum Contradiction Coprime integers Corollary Curve Cyclic group Determinant Diagram (category theory) Diffeomorphism Dimension Disjoint union Eigenvalues and eigenvectors Equation Equivalence class Euler number Existential quantification Exterior (topology) Fiber bundle Fibration Foliation Fundamental group Geometry Graph (discrete mathematics) Ground field Homeomorphism Homology sphere Identity matrix Integer matrix Intersection form (4-manifold) Isolated point Isolated singularity Jordan normal form Knot theory Mathematical induction Monodromy matrix Monodromy N-sphere Natural transformation Newton polygon Newton's method Normal (geometry) Notation Pairwise Parametrization Plane curve Polynomial Power series Projective plane Puiseux series Quantity Rational function Resolution of singularities Riemann sphere Riemann surface Root of unity Scientific notation Seifert surface Set (mathematics) Sign (mathematics) Solid torus Special case Stereographic projection Submanifold Summation Theorem Three-dimensional space (mathematics) Topology Torus knot Torus Tubular neighborhood Unit circle Unit vector Unknot Variable (mathematics) |
| ISBN | 1-4008-8192-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Abstract -- Three-Dimensional Link Theory and Invariants of Plane Curve Singularities -- Introduction -- Review -- Preview -- Chapter I: Foundations -- Appendix to Chapter I: Algebraic Links -- Chapter II: Classification -- Chapter III: Invariants -- Chapter IV: Examples -- Chapter V: Relation to Plumbing -- References -- Backmatter |
| Record Nr. | UNINA-9910154742903321 |
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Eisenbud David
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Twisted L-functions and monodromy [[electronic resource] /] / by Nicholas M. Katz
| 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 |
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Katz Nicholas M. <1943->
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| Princeton, : Princeton University Press, 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Twisted L-functions and monodromy / / by Nicholas M. Katz
| Twisted L-functions and monodromy / / 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-9910821229203321 |
|
Katz Nicholas M. <1943->
|
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| Princeton, : Princeton University Press, 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||