发表机构
Columbia University(哥伦比亚大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文推广C. Li的工作,在莱夫谢茨型簇上构造满足Kontsevich-Soibelman支撑性质的全支撑稳定性条件,覆盖维数≤3的光滑复射影簇及光滑射影环面簇。
AI 中文摘要
近期,C. Li在所有光滑复射影簇的导出范畴上构造了稳定性条件,这些稳定性条件关于由丰富类的幂生成的上同调格满足Kontsevich-Soibelman支撑性质。我们推广Li的结果,在代数上同调除子类生成的莱夫谢茨型簇上构造了具有全支撑的稳定性条件,该类包含所有维数不超过3的光滑复射影簇及光滑射影环面簇。
英文摘要
Recently, C. Li constructed stability conditions on the derived categories of all smooth complex projective varieties. These stability conditions satisfy the support property of Kontsevich-Soibelman with respect to the lattice in cohomology generated by powers of an ample class. We extend Li's results to construct stability conditions with full support on Lefschetz type varieties whose algebraic cohomology is generated by divisor classes. This includes all smooth complex projective varieties of dimension at most 3 and smooth projective toric varieties.
Commentsv2: minor corrections, 13 pages, comments welcome!