On twisted de Rham cohomology
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Publication:4352116
DOI10.1017/S0027763000006218zbMath0915.14012MaRDI QIDQ4352116
Alan Adolphson, Steven I. Sperber
Publication date: 27 October 1997
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Laplace transformhypergeometric functionstwisted cohomologytwisted de Rham complex of global differential forms
Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Generalized hypergeometric series, ({}_pF_q) (33C20) de Rham cohomology and algebraic geometry (14F40)
Related Items (8)
𝐴-hypergeometric systems that come from geometry ⋮ Hodge theory of Kloosterman connections ⋮ Hodge properties of Airy moments ⋮ Hodge numbers of motives attached to Kloosterman and Airy moments ⋮ Irregular Hodge filtration on twisted de Rham cohomology ⋮ Newton polytopes and algebraic hypergeometric series ⋮ Twisted smooth Deligne cohomology ⋮ Critical points and number of master integrals
Cites Work
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- Exponential sums and Newton polyhedra: cohomology and estimates
- Newton polyhedra and the degree of the L-function associated to an exponential sum
- Generalized Euler integrals and \(A\)-hypergeometric functions
- Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori
- Polyedres de Newton et nombres de Milnor
- Hypergeometric functions and rings generated by monomials
- On the zeta function of a hypersurface. I
- On vanishing of the twisted rational de Rham cohomology associated with hypergeometric functions
- Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
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