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Variations on the minimal resolution conjecture Boij, Mats
Description
In ongoing joint work with Christine Berkesch and Daniel Erman we study the minimal resolution conjecture up to scaling. For Hilbert functions corresponding to modules of low regularity there always exist corresponding Betti tables with no consecutive cancellations up to scaling. For Hilbert functions of many naturally occurring modules, like coordinate rings of Veronese varieties, the Betti table can be semi-pure, even though the region of Hilbert functions corresponding to such tables is a tiny part of the cone of Hilbert functions.
Item Metadata
Title |
Variations on the minimal resolution conjecture
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-06-25T15:31
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Description |
In ongoing joint work with Christine Berkesch and Daniel Erman we study the minimal resolution conjecture up to scaling. For Hilbert functions corresponding to modules of low regularity there always exist corresponding Betti tables with no consecutive cancellations up to scaling. For Hilbert functions of many naturally occurring modules, like coordinate rings of Veronese varieties, the Betti table can be semi-pure, even though the region of Hilbert functions corresponding to such tables is a tiny part of the cone of Hilbert functions.
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Extent |
50.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: KTH Royal Institute of Technology
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Series | |
Date Available |
2019-03-23
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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 |
10.14288/1.0377334
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International