Geodesic
On boundedness of semistable sheaves
Documenta mathematica, Tome 27 (2022), pp. 1-16.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 14F06, 14D20, 14J60
Keywords: semistable sheaves, Bogomolov's inequality, bounded families 
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     author = {Langer, Adrian},
     title = {On boundedness of semistable sheaves},
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Langer, Adrian. On boundedness of semistable sheaves. Documenta mathematica, Tome 27 (2022), pp. 1-16. http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a66/