Li, Chunyi and Zhao, Xiaolei (2019) Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces. Mathematische Zeitschrift, 291 . pp. 437-447. doi:10.1007/s00209-018-2090-5 ISSN 0025-5874.

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Abstract

Let X be a projective smooth holomorphic Poisson surface, in other words, whose anti-canonical bundle is effective. We show that moduli spaces of certain Bridgeland stable objects on X are smooth. Moreover, we construct Poisson structures on these moduli spaces.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Moduli theory
Journal or Publication Title:	Mathematische Zeitschrift
Publisher:	Springer
ISSN:	0025-5874
Official Date:	11 February 2019
Dates:	Date Event 11 February 2019 Published 5 June 2018 Available 6 February 2018 Accepted
Volume:	291
Page Range:	pp. 437-447
DOI:	10.1007/s00209-018-2090-5
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 Mathematische Zeitschrift. The final authenticated version is available online at: https://doi.org/10.1007/s00209-018-2090-5
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	14 February 2018
Date of first compliant Open Access:	5 June 2019
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID 337039 European Research Council http://viaf.org/viaf/130022607
Related URLs:	Publisher

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