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The minimal model program for deformations of Hilbert schemes of points on the projective plane
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Li, Chunyi and Zhao, Xiaolei (2018) The minimal model program for deformations of Hilbert schemes of points on the projective plane. Algebraic Geometry, 5 (3). pp. 328-358. doi:10.14231/AG-2018-010 ISSN 2214-2584.
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Official URL: http://dx.doi.org/10.14231/AG-2018-010
Abstract
We study the birational geometry of deformations of Hilbert schemes of points on P2. We show that moduli of Bridgeland-stable objects are smooth, irreducible, projective varieties, which are birationally equivalent to these deformations. Moreover, wall crossing in the space of Bridgeland-stability conditions induces the minimal model program for these deformations. In particular, for Hilbert schemes of points onP2, this proves a correspondence between destabilizing walls in the space of Bridgeland-stability conditions and stable base locus walls in the effective divisor cone, conjectured by Arcara,Bertram, Coskun and Huizenga.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Hilbert schemes | ||||||
| Journal or Publication Title: | Algebraic Geometry | ||||||
| Publisher: | Foundation Compositio Mathematica | ||||||
| ISSN: | 2214-2584 | ||||||
| Official Date: | May 2018 | ||||||
| Dates: |
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| Volume: | 5 | ||||||
| Number: | 3 | ||||||
| Page Range: | pp. 328-358 | ||||||
| DOI: | 10.14231/AG-2018-010 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||
| Copyright Holders: | Foundation Compositio Mathematica | ||||||
| Date of first compliant deposit: | 26 February 2019 | ||||||
| Date of first compliant Open Access: | 26 February 2019 |
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