Mellin-Barnes integrals as Fourier-Mukai transforms

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dc.creatorBorisov, Lev A.
dc.creatorHorja, R. Paul
dc.date2005-10-23
dc.date.accessioned2026-07-07T06:47:48Z
dc.date.available2026-07-07T06:47:48Z
dc.descriptionWe study the generalized hypergeometric system introduced by Gelfand, Kapranov and Zelevinsky and its relationship with the toric Deligne-Mumford (DM) stacks recently studied by Borisov, Chen and Smith. We construct series solutions with values in a combinatorial version of the Chen-Ruan (orbifold) cohomology and in the $K$-theory of the associated DM stacks. In the spirit of the homological mirror symmetry conjecture of Kontsevich, we show that the $K$-theory action of the Fourier-Mukai functors associated to basic toric birational maps of DM stacks are mirrored by analytic continuation transformations of Mellin-Barnes type.
dc.description55 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0510486
dc.identifierhttp://arxiv.org/abs/math/0510486
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103778
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subject14M25; 14J32
dc.titleMellin-Barnes integrals as Fourier-Mukai transforms
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