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Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 / / Nicholas M. Katz
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.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Methods of graded rings / Constantin Nastasescu, Freddy Van Oystaeyen
Methods of graded rings / Constantin Nastasescu, Freddy Van Oystaeyen
Autore Nastasescu, Constantin
Pubbl/distr/stampa Berlin, : Springer, 2004
Descrizione fisica XIII, 304 p. ; 24 cm
Altri autori (Persone) Oystaeyen, Freddy van
Soggetto topico 20-XX - Group theory and generalizations [MSC 2020]
16-XX - Associative rings and algebras [MSC 2020]
18-XX - Category theory; homological algebra [MSC 2020]
81R30 - Coherent states; squeezed states in quantum theory [MSC 2020]
Soggetto non controllato Abelian category
Algebra
Category Theory
Gradation
Homogenization
Module
Simple object
ISBN 978-35-402-0746-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN0054794
Nastasescu, Constantin  
Berlin, : Springer, 2004
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Methods of graded rings / Constantin Nastasescu, Freddy Van Oystaeyen
Methods of graded rings / Constantin Nastasescu, Freddy Van Oystaeyen
Autore Nastasescu, Constantin
Pubbl/distr/stampa Berlin, : Springer, 2004
Descrizione fisica XIII, 304 p. ; 24 cm
Altri autori (Persone) Oystaeyen, Freddy van
Soggetto topico 16-XX - Associative rings and algebras [MSC 2020]
18-XX - Category theory; homological algebra [MSC 2020]
20-XX - Group theory and generalizations [MSC 2020]
81R30 - Coherent states; squeezed states in quantum theory [MSC 2020]
Soggetto non controllato Abelian category
Algebra
Category Theory
Gradation
Homogenization
Module
Simple object
ISBN 978-35-402-0746-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN00054794
Nastasescu, Constantin  
Berlin, : Springer, 2004
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
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
Ravenel Douglas C.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Triangulated categories / / by Amnon Neeman
Triangulated categories / / by Amnon Neeman
Autore Neeman Amnon
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 2001
Descrizione fisica 1 online resource (461 p.)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico Categories (Mathematics)
Soggetto non controllato Abelian category
Abelian group
Additive category
Adjoint functors
Adjoint
Adjunction (field theory)
Associative property
Axiom
Basis (linear algebra)
Bijection
Biproduct
Brown's representability theorem
Cardinal number
Cardinality
Category of abelian groups
Chain complex
Class (set theory)
Cohomology
Computation
Coproduct
Corollary
Countable set
Counterexample
Derived category
Derived functor
Diagram (category theory)
Direct limit
Direct sum
Discrete valuation ring
Duality (mathematics)
Embedding
Equivalence class
Equivalence of categories
Exact functor
Exact sequence
Existence theorem
Existential quantification
Factorization
Finitely generated abelian group
Functor category
Functor
Grothendieck category
Grothendieck's Tôhoku paper
Group homomorphism
Homological algebra
Homotopy category of chain complexes
Homotopy category
Homotopy colimit
Homotopy
I0
Injective function
Injective object
Integer
Isomorph
Isomorphism class
Jack Morava
K-theory
Limit (category theory)
Limit of a sequence
Limit ordinal
Linear map
Mapping cone (homological algebra)
Mathematical induction
Maximal ideal
Module (mathematics)
Monomorphism
Moore space
Morphism
N0
Natural transformation
Open set
Partially ordered set
Pierre Deligne
Prime number
Projective object
Proportionality (mathematics)
Quotient category
Regular cardinal
Representable functor
Sheaf (mathematics)
Special case
Spectral sequence
Subcategory
Subobject
Subsequence
Subset
Successor ordinal
Summation
Tautology (logic)
Tensor product
Theorem
Theory
Topological group
Transfinite induction
Transfinite
Triangulated category
Universal property
Vector space
Vladimir Voevodsky
Yoneda lemma
ISBN 0-691-08685-0
1-4008-3721-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 0. Acknowledgements -- 1. Introduction -- Chapter 1. Definition and elementary properties of triangulated categories -- Chapter 2. Triangulated functors and localizations of triangulated categories -- Chapter 3. Perfection of classes -- Chapter 4. Small objects, and Thomason's localisation theorem -- Chapter 5. The category A(S) -- Chapter 6. The category Εx (Sop, Ab) -- Chapter 7. Homological properties of Εx(Sop,Αb) -- Chapter 8. Brown representability -- Chapter 9. Bousfield localisation -- Appendix A. Abelian categories -- Appendix B. Homological functors into [AB5α] categories -- Appendix C. Counterexamples concerning the abelian category A(Τ) -- Appendix D. Where Τ is the homotopy category of spectra -- Appendix E. Examples of non-perfectly-generated categories -- Bibliography -- Index
Record Nr. UNINA-9910791958903321
Neeman Amnon  
Princeton, New Jersey : , : Princeton University Press, , 2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Triangulated categories / / by Amnon Neeman
Triangulated categories / / by Amnon Neeman
Autore Neeman Amnon
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 2001
Descrizione fisica 1 online resource (461 p.)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico Categories (Mathematics)
Soggetto non controllato Abelian category
Abelian group
Additive category
Adjoint functors
Adjoint
Adjunction (field theory)
Associative property
Axiom
Basis (linear algebra)
Bijection
Biproduct
Brown's representability theorem
Cardinal number
Cardinality
Category of abelian groups
Chain complex
Class (set theory)
Cohomology
Computation
Coproduct
Corollary
Countable set
Counterexample
Derived category
Derived functor
Diagram (category theory)
Direct limit
Direct sum
Discrete valuation ring
Duality (mathematics)
Embedding
Equivalence class
Equivalence of categories
Exact functor
Exact sequence
Existence theorem
Existential quantification
Factorization
Finitely generated abelian group
Functor category
Functor
Grothendieck category
Grothendieck's Tôhoku paper
Group homomorphism
Homological algebra
Homotopy category of chain complexes
Homotopy category
Homotopy colimit
Homotopy
I0
Injective function
Injective object
Integer
Isomorph
Isomorphism class
Jack Morava
K-theory
Limit (category theory)
Limit of a sequence
Limit ordinal
Linear map
Mapping cone (homological algebra)
Mathematical induction
Maximal ideal
Module (mathematics)
Monomorphism
Moore space
Morphism
N0
Natural transformation
Open set
Partially ordered set
Pierre Deligne
Prime number
Projective object
Proportionality (mathematics)
Quotient category
Regular cardinal
Representable functor
Sheaf (mathematics)
Special case
Spectral sequence
Subcategory
Subobject
Subsequence
Subset
Successor ordinal
Summation
Tautology (logic)
Tensor product
Theorem
Theory
Topological group
Transfinite induction
Transfinite
Triangulated category
Universal property
Vector space
Vladimir Voevodsky
Yoneda lemma
ISBN 0-691-08685-0
1-4008-3721-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 0. Acknowledgements -- 1. Introduction -- Chapter 1. Definition and elementary properties of triangulated categories -- Chapter 2. Triangulated functors and localizations of triangulated categories -- Chapter 3. Perfection of classes -- Chapter 4. Small objects, and Thomason's localisation theorem -- Chapter 5. The category A(S) -- Chapter 6. The category Εx (Sop, Ab) -- Chapter 7. Homological properties of Εx(Sop,Αb) -- Chapter 8. Brown representability -- Chapter 9. Bousfield localisation -- Appendix A. Abelian categories -- Appendix B. Homological functors into [AB5α] categories -- Appendix C. Counterexamples concerning the abelian category A(Τ) -- Appendix D. Where Τ is the homotopy category of spectra -- Appendix E. Examples of non-perfectly-generated categories -- Bibliography -- Index
Record Nr. UNINA-9910821730503321
Neeman Amnon  
Princeton, New Jersey : , : Princeton University Press, , 2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui