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A-hypergeometric rank jumps from local cohomology in codimension 2 Berkesch, Christine
Description
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.
Item Metadata
| Title |
A-hypergeometric rank jumps from local cohomology in codimension 2
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2018-06-25T16:46
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| Description |
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.
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| Extent |
28.0
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University of Minnesota
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| Series | |
| Date Available |
2019-03-22
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0377335
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Researcher
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International