On stability conditions for the quintic threefold

• 成果类型: Article
• 署名作者: Li, Chunyi
• 署名单位: University of Warwick
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-019-00888-z
• 发表日期: 2019
• 页码: 301-340
• 关键词: bogomolov-gieseker inequality

摘要

We study the Clifford type inequality for a particular type of curves C-2,C-2,C-5, which are contained in smooth quintic threefolds. This allows us to prove some stronger Bogomolov-Gieseker type inequalities for Chern characters of stable sheaves and tilt-stable objects on smooth quintic threefolds. Employing the previous framework by Bayer, Bertram, Macri, Stellari and Toda, we construct an open subset of stability conditions on every smooth quintic threefold in P-C(4).