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Boundedness of semistable sheaves

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint 27 Oct 2022Embargo end date: 01 Jan 2021Publisher:Cambridge University Press (CUP)
Authors: Guo, H.; Shivaprasad, S.; Spence, D.; Wu, Y.;

doi: 10.1017/9781009051897.006 , 10.48550/arxiv.2112.03834

arXiv: http://arxiv.org/abs/2112.03834

handle: 21.11116/0000-000C-6E98-E , 21.11116/0000-000C-6E99-D , 21.11116/0000-000C-6E96-0

Boundedness of semistable sheaves

Abstract

In this expository article, we follow the work of Langer to prove the boundedness of the moduli space of semistable torsion-free sheaves over a projective variety, in any characteristic.

Expository paper for the Stacks Project Online SPONGE 2020 proceedings. Comments welcome!

Keywords

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

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green