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On stability conditions for the quintic threefold
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Li, Chunyi (2019) On stability conditions for the quintic threefold. Inventiones Mathematicae, 218 . pp. 301-340. doi:10.1007/s00222-019-00888-z ISSN 0020-9910.
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WRAP-on-stability-conditions-quintic-Li-2019.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (686Kb) | Preview |
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Official URL: https://doi.org/10.1007/s00222-019-00888-z
Abstract
We study the Clifford type inequality for a particular type of curves C2,2,5 , which are contained in smooth quintic threefolds. This allows us to prove some stronger Bogomolov–Gieseker type inequalities for Chern characters of stable sheaves and tilt-stable objects on smooth quintic threefolds. Employing the previous framework by Bayer, Bertram, Macrì, Stellari and Toda, we construct an open subset of stability conditions on every smooth quintic threefold in P4C .
| 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, Threefolds (Algebraic geometry) | |||||||||
| Journal or Publication Title: | Inventiones Mathematicae | |||||||||
| Publisher: | Springer | |||||||||
| ISSN: | 0020-9910 | |||||||||
| Official Date: | 1 October 2019 | |||||||||
| Dates: |
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| Volume: | 218 | |||||||||
| Page Range: | pp. 301-340 | |||||||||
| DOI: | 10.1007/s00222-019-00888-z | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Reuse Statement (publisher, data, author rights): | This is a post-peer-review, pre-copyedit version of an article published in Inventiones Mathematicae. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00222-019-00888-z | |||||||||
| Access rights to Published version: | Open Access (Creative Commons) | |||||||||
| Date of first compliant deposit: | 24 April 2019 | |||||||||
| Date of first compliant Open Access: | 29 May 2019 | |||||||||
| RIOXX Funder/Project Grant: |
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