Movable Curves and Semistable Sheaves

作者:Greb Daniel*; Kebekus Stefan; Peternell Thomas
来源:International Mathematics Research Notices, 2016, (2): 536-570.
DOI:10.1093/imrn/rnv126

摘要

This paper extends a number of known results on slope-semistable sheaves from the classical case to the setting where polarizations are given by movable curve classes. As applications, we obtain new flatness results for reflexive sheaves on singular varieties, as well as a characterization of finite quotients of Abelian varieties via a Chern class condition.

  • 出版日期2016