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Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander
Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander
Autore Friedlander Eric M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (193 pages)
Disciplina 514/.24
Collana Annals of Mathematics Studies
Soggetto topico Homotopy theory
Schemes (Algebraic geometry)
Homology theory
Soggetto non controllato Abelian group
Adams operation
Adjoint functors
Alexander Grothendieck
Algebraic K-theory
Algebraic closure
Algebraic geometry
Algebraic group
Algebraic number theory
Algebraic structure
Algebraic topology (object)
Algebraic topology
Algebraic variety
Algebraically closed field
Automorphism
Base change
Cap product
Cartesian product
Closed immersion
Codimension
Coefficient
Cohomology
Comparison theorem
Complex number
Complex vector bundle
Connected component (graph theory)
Connected space
Coprime integers
Corollary
Covering space
Derived functor
Dimension (vector space)
Disjoint union
Embedding
Existence theorem
Ext functor
Exterior algebra
Fiber bundle
Fibration
Finite field
Finite group
Free group
Functor
Fundamental group
Galois cohomology
Galois extension
Geometry
Grothendieck topology
Homogeneous space
Homological algebra
Homology (mathematics)
Homomorphism
Homotopy category
Homotopy group
Homotopy
Integral domain
Intersection (set theory)
Inverse limit
Inverse system
K-theory
Leray spectral sequence
Lie group
Local ring
Mapping cylinder
Natural number
Natural transformation
Neighbourhood (mathematics)
Newton polynomial
Noetherian ring
Open set
Opposite category
Pointed set
Presheaf (category theory)
Reductive group
Regular local ring
Relative homology
Residue field
Riemann surface
Root of unity
Serre spectral sequence
Shape theory (mathematics)
Sheaf (mathematics)
Sheaf cohomology
Sheaf of spectra
Simplex
Simplicial set
Special case
Spectral sequence
Surjective function
Theorem
Topological K-theory
Topological space
Topology
Tubular neighborhood
Vector bundle
Weak equivalence (homotopy theory)
Weil conjectures
Weyl group
Witt vector
Zariski topology
ISBN 1-4008-8149-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- INTRODUCTION -- 1. ETALE SITE OF A SIMPLICIAL SCHEME -- 2. SHEAVES AND COHOMOLOGY -- 3. COHOMOLOGY VIA HYPERCOVERINGS -- 4. ETALE TOPOLOGICAL TYPE -- 5. HOMOTOPY INVARIANTS -- 6. WEAK EQUIVALENCES, COMPLETIONS, AND HOMOTOPY LIMITS -- 7. FINITENESS AND HOMOLOGY -- 8. COMPARISON OF HOMOTOPY TYPES -- 9. APPLICATIONS TO TOPOLOGY -- 10. COMPARISON OF GEOMETRIC AND HOMOTOPY THEORETIC FIBRES -- 11. APPLICATIONS TO GEOMETRY -- 12. APPLICATIONS TO FINITE CHE VALLEY GROUPS -- 13. FUNCTION COMPLEXES -- 14. RELATIVE COHOMOLOGY -- 15. TUBULAR NEIGHBORHOODS -- 16. GENERALIZED COHOMOLOGY -- 17. POINCARÉ DUALITY AND LOCALLY COMPACT HOMOLOGY -- REFERENCES -- INDEX -- Backmatter
Record Nr. UNINA-9910154744803321
Friedlander Eric M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui