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arXiv · 2107.03125

On boundedness of semistable sheaves

Adrian Langer
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Abstract

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.

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Adrian Langer. 2021-07-07. On boundedness of semistable sheaves. https://doi.org/10.25537/dm.2022v27.1-16

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