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Article overview
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Hypergeometric D-modules and twisted Gauss-Manin systems | | Mathias Schulze
; Uli Walther
; | | Date: |
12 Dec 2007 | | Abstract: | The Euler-Koszul complex is the fundamental tool in the homological study of
A-hypergeometric differential systems and functions. We compare Euler-Koszul
homology with D-module direct images from the torus to the base space through
orbits in the corresponding toric variety. Our approach generalizes a result by
Gel’fand et al. and yields a simpler, more algebraic proof.
In the process we extend the Euler-Koszul functor a category of infinite
toric modules and describe multigraded localizations of Euler-Koszul homology. | | Source: | arXiv, 0712.2021 | | Services: | Forum | Review | PDF | Favorites | |
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