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A-hypergeometric rank jumps from local cohomology in codimension 2

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Berkesch, Christine

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A-hypergeometric rank jumps from local cohomology in codimension 2
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19
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
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We construct an explicit local duality map for codimension 2 toric ideals, thanks in part to the explicit free resolutions of Peeva--Sturmfels for such ideals. We then combine this with our work on the parametric behavior of the series solutions of an A-hypergeometric system to explain how local cohomology causes rank jumps.