Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities
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Publication:5406137
DOI10.1090/S1056-3911-2013-00617-7zbMATH Open1306.14005arXiv1103.5010OpenAlexW1996126957MaRDI QIDQ5406137
Author name not available (Why is that?)
Publication date: 1 April 2014
Published in: (Search for Journal in Brave)
Abstract: We construct new t-structures on the derived category of coherent sheaves on smooth projective threefolds. We conjecture that they give Bridgeland stability conditions near the large volume limit. We show that this conjecture is equivalent to a Bogomolov-Gieseker type inequality for the third Chern character of certain stable complexes. We also conjecture a stronger inequality, and prove it in the case of projective space, and for various examples. Finally, we prove a version of the classical Bogomolov-Gieseker inequality, not involving the third Chern character, for stable complexes.
Full work available at URL: https://arxiv.org/abs/1103.5010
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