Irregularity of hypergeometric systems via slopes along coordinate subspaces

DOI10.1215/00127094-2008-011zbMath1144.13012arXivmath/0608668OpenAlexW2011198355MaRDI QIDQ925700

Uli Walther, Mathias Schulze

Publication date: 22 May 2008

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608668

zbMATH Keywords

\((A, L)\)-umbrellaEuler-Koszul characteristicirregularity sheaf

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Commutative rings of differential operators and their modules (13N10) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (27)

Local Cohomology—An Invitation ⋮ Homology and cohomology intersection numbers of GKZ systems ⋮ On irregular binomial \(D\)-modules ⋮ A geometric degree formula for \(A\)-discriminants and Euler obstructions of toric varieties ⋮ Logarithmic \(A\)-hypergeometric series II ⋮ Torus equivariant \(D\)-modules and hypergeometric systems ⋮ Characteristic cycles and Gevrey series solutions of \(A\)-hypergeometric systems ⋮ The structure of a local system associated with a hypergeometric system of rank 9 ⋮ On the parametric behavior of $A$-hypergeometric series ⋮ Gauß–Manin systems of families of Laurent polynomials and A-hypergeometric systems ⋮ Irregularity of hypergeometric systems via slopes along coordinate subspaces ⋮ Multidegree for bifiltered \(D\)-modules ⋮ Monodromies at infinity of confluent \(A\)-hypergeometric functions ⋮ Logarithmic A-hypergeometric series ⋮ Gevrey and formal Nilsson solutions of \(A\)-hypergeometric systems ⋮ Binomial \(D\)-modules ⋮ Monodromy at infinity of \(A\)-hypergeometric functions and toric compactifications ⋮ Irregular hypergeometric \(\mathcal D\)-modules ⋮ Algebraic aspects of hypergeometric differential equations ⋮ Singularities and holonomicity of binomial \(D\)-modules ⋮ Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve ⋮ Cohen-Macaulayness and computation of Newton graded toric rings ⋮ Regular \(b\)-functions of \(D\)-modules ⋮ On the local monodromy of \(A\)-hypergeometric functions and some monodromy invariant subspaces ⋮ Kinematic singularities of Feynman integrals and principal \(A\)-determinants ⋮ Irregular modified $A$-hypergeometric systems ⋮ Laurent polynomials, GKZ-hypergeometric systems and mixed Hodge modules

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