The Library
Stability manifolds of varieties with finite Albanese morphisms
Tools
Fu, Lie, Li, Chunyi and Zhao, Xiaolei (2022) Stability manifolds of varieties with finite Albanese morphisms. Transactions of the American Mathematical Society, 375 (8). pp. 5669-5690. doi:10.1090/tran/8651 ISSN 0002-9947.
|
PDF
WRAP-stability-manifolds-of-varieties-with-finite-Albanese-morphisms-Li-2022.pdf - Accepted Version - Requires a PDF viewer. Download (538Kb) | Preview |
Official URL: https://doi.org/10.1090/tran/8651
Abstract
For a smooth projective complex variety whose Albanese morphism is finite, we show that every Bridgeland stability condition on its bounded derived category of coherent sheaves is geometric, in the sense that all skyscraper sheaves are stable with the same phase. Furthermore, we describe the stability manifolds of irregular surfaces and abelian threefolds with Neron-Severi rank one, and show that they are connected and contractible.
Item Type: | Journal Article | ||||||||
---|---|---|---|---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Geometry, Algebraic, Abelian varieties , Algebra, Homological | ||||||||
Journal or Publication Title: | Transactions of the American Mathematical Society | ||||||||
Publisher: | American Mathematical Society | ||||||||
ISSN: | 0002-9947 | ||||||||
Official Date: | August 2022 | ||||||||
Dates: |
|
||||||||
Volume: | 375 | ||||||||
Number: | 8 | ||||||||
Page Range: | pp. 5669-5690 | ||||||||
DOI: | 10.1090/tran/8651 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Re-use Statement: | First published in Transactions of the American Mathematical Society in [volume and number, or year], published by the American Mathematical Society. | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Copyright Holders: | Chunyi Li, Lie Fu, Xiaolei Zhao, c 2022 American Mathematical Society | ||||||||
Date of first compliant deposit: | 8 March 2022 | ||||||||
Date of first compliant Open Access: | 11 March 2022 | ||||||||
Grant number: | |||||||||
RIOXX Funder/Project Grant: |
|
||||||||
Related URLs: |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year