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On boundedness of semistable sheaves

Name: On boundedness of semistable sheaves
Creator: Langer, Adrian
Keywords: Mathematics - Algebraic Geometry, FOS: Mathematics, 0101 mathematics, Algebraic Geometry (math.AG), 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2022Embargo end date: 01 Jan 2021Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Documenta Mathematica, volume 27, pages 1-16 (issn: 1431-0635, eissn: 1431-0643,

Authors: Langer, Adrian;

doi: 10.4171/dm/865 , 10.48550/arxiv.2107.03125 , 10.25537/dm.2022v27.1-16

arXiv: http://arxiv.org/abs/2107.03125

On boundedness of semistable sheaves

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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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Mathematics - Algebraic Geometry, FOS: Mathematics, Algebraic Geometry (math.AG)

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