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The space of stability conditions on the projective plane
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Li, Chunyi (2017) The space of stability conditions on the projective plane. Selecta Mathematica, New Series, 23 (4). pp. 2927-2945. doi:10.1007/s00029-017-0352-4 ISSN 1022-1824.
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Official URL: http://dx.doi.org/10.1007/s00029-017-0352-4
Abstract
The space of Bridgeland stability conditions on the bounded derived category of coherent sheaves on P2 has a principal connected component Stab†(P2) . We show that Stab†(P2) is the union of geometric and algebraic stability conditions. As a consequence, we give a cell decomposition for Stab†(P2) and show that Stab†(P2) is contractible.
Item Type: | Journal Article | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Journal or Publication Title: | Selecta Mathematica, New Series | ||||||
Publisher: | Birkhauser Verlag AG | ||||||
ISSN: | 1022-1824 | ||||||
Official Date: | October 2017 | ||||||
Dates: |
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Volume: | 23 | ||||||
Number: | 4 | ||||||
Page Range: | pp. 2927-2945 | ||||||
DOI: | 10.1007/s00029-017-0352-4 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Open Access (Creative Commons) |
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