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Virtual resolutions of points in P1×P1
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Harada, Megumi, Nowroozi, Maryam and Van Tuyl, Adam (2022) Virtual resolutions of points in P1×P1. Journal of Pure and Applied Algebra, 226 (12). 107140. doi:10.1016/j.jpaa.2022.107140 ISSN 0022-4049.
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Official URL: http://dx.doi.org/10.1016/j.jpaa.2022.107140
Abstract
We explore explicit virtual resolutions, as introduced by Berkesch, Erman, and Smith, for ideals of finite sets of points in P^1xP^1. Specifically, we describe a virtual resolution for a sufficiently general set of points X in P^1xP^1 that only depends on |X|. We also improve an existence result of Berkesch, Erman, and Smith in the special case of points in P^1xP^1; more precisely, we give an effective bound for their construction that gives a virtual resolution of length two for any set of points in P^1xP^1.
| Item Type: | Journal Article | ||||||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
| Library of Congress Subject Headings (LCSH): | Geometry, Algebraic, Free resolutions (Algebra), Finite geometries, Geometry, Projective, Projective spaces | ||||||||||||
| Journal or Publication Title: | Journal of Pure and Applied Algebra | ||||||||||||
| Publisher: | Elsevier Science BV | ||||||||||||
| ISSN: | 0022-4049 | ||||||||||||
| Official Date: | December 2022 | ||||||||||||
| Dates: |
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| Volume: | 226 | ||||||||||||
| Number: | 12 | ||||||||||||
| Article Number: | 107140 | ||||||||||||
| DOI: | 10.1016/j.jpaa.2022.107140 | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||
| Date of first compliant deposit: | 27 July 2022 | ||||||||||||
| Date of first compliant Open Access: | 28 July 2022 | ||||||||||||
| RIOXX Funder/Project Grant: |
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