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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
Katz Nicholas M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Katz Nicholas M. <1943->  
Princeton, : Princeton University Press, 2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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-9910821229203321
Katz Nicholas M. <1943->  
Princeton, : Princeton University Press, 2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui