Rigid Local Systems. (AM-139), Volume 139 /

Rigid Local Systems. (AM-139), Volume 139 /

Riemann introduced the concept of a "local system" on P1-{a finite set of points} nearly 140 years ago. His idea was to study nth order linear differential equations by studying the rank n local systems (of local holomorphic solutions) to which they gave rise. His first application was to...

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Bibliographic Details
Main Author: Katz, Nicholas M., 1943- (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: De Gruyter
Format: Book
Language:English
Published: Princeton, NJ : Princeton University Press, [2016]
Series:Annals of mathematics studies ; 139
Subjects:
Differential equations > Numerical solutions
Hypergeometric functions
Sheaf theory
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
Dictionaries

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