Movable curves and semistable sheaves
Algebraic Geometry
2016-06-28 v2
Abstract
This paper extends a number of known results on slope-semistable sheaves from the classical case to the setting where polarisations are given by movable curve classes. As applications, we obtain new flatness results for reflexive sheaves on singular varieties, as well as a characterisation of finite quotients of Abelian varieties via a Chern class condition.
Cite
@article{arxiv.1408.4308,
title = {Movable curves and semistable sheaves},
author = {Daniel Greb and Stefan Kebekus and Thomas Peternell},
journal= {arXiv preprint arXiv:1408.4308},
year = {2016}
}
Comments
24 pages, 2 figures; v2: various minor corrections as requested by referees, will appear in International Mathematics Research Notices