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Birational models of moduli spaces of coherent sheaves on the projective plane
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Li, Chunyi and Zhao, Xiaolei (2019) Birational models of moduli spaces of coherent sheaves on the projective plane. Geometry and Topology, 23 . pp. 347-426. doi:10.2140/gt.2019.23.347 ISSN 1465-3060.
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Official URL: https://doi.org/10.2140/gt.2019.23.347
Abstract
We study the birational geometry of moduli spaces of semistable sheaves on the projective plane via Bridgeland stability conditions. We show that the entire MMP of their moduli spaces can be run via wall-crossing. Via a description of the walls, we give a numerical description of their movable cones, along with its chamber decomposition corresponding to minimal models. As an application, we show that for primitive vectors, all birational models corresponding to open chambers in the movable cone are smooth and irreducible.
| 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): | Moduli theory, Geometry | |||||||||
| Journal or Publication Title: | Geometry and Topology | |||||||||
| Publisher: | Geometry & Topology Publications | |||||||||
| ISSN: | 1465-3060 | |||||||||
| Official Date: | 5 March 2019 | |||||||||
| Dates: |
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| Volume: | 23 | |||||||||
| Page Range: | pp. 347-426 | |||||||||
| DOI: | 10.2140/gt.2019.23.347 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Reuse Statement (publisher, data, author rights): | Geometry and Topology, 23, 2019. published by Mathematical Sciences Publishers | |||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||
| Copyright Holders: | Mathematical Sciences Publishers | |||||||||
| Date of first compliant deposit: | 17 May 2018 | |||||||||
| Date of first compliant Open Access: | 16 April 2019 | |||||||||
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