On Boundedness of Semistable Sheaves

Adrián Langer · arXiv (Cornell University) · 2020

We give a new simple proof of boundedness of the family of semistable sheaves with fixed numerical invariants on a fixed smooth projective variety. In characteristic zero our method gives a quick proof of Bogomolov's inequality for semistable sheaves on a smooth projective variety of any dimension $\ge 2$ without using any restriction theorems.

Read the paper · More papers on PaperTik