Moduli of rank 2 vector bundles over a curve

We show that among rank 2 vector bundles over a curve only semistable and simple objects admit a good moduli space.

Saved in:
Bibliographic Details
Main Author: Zhang, Xucheng
Format: Article
Language:English
Published: Académie des sciences 2024-12-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.628/
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1825206164148715520
author Zhang, Xucheng
author_facet Zhang, Xucheng
author_sort Zhang, Xucheng
collection DOAJ
description We show that among rank 2 vector bundles over a curve only semistable and simple objects admit a good moduli space.
format Article
id doaj-art-846382ae783943199521fdc34ab4bf3c
institution Kabale University
issn 1778-3569
language English
publishDate 2024-12-01
publisher Académie des sciences
record_format Article
series Comptes Rendus. Mathématique
spelling doaj-art-846382ae783943199521fdc34ab4bf3c2025-02-07T11:27:01ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-12-01362G131915191810.5802/crmath.62810.5802/crmath.628Moduli of rank 2 vector bundles over a curveZhang, Xucheng0https://orcid.org/0000-0001-6669-6096Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, ChinaWe show that among rank 2 vector bundles over a curve only semistable and simple objects admit a good moduli space.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.628/Vector bundlesModuli spaceAlgebraic stacks
spellingShingle Zhang, Xucheng
Moduli of rank 2 vector bundles over a curve
Comptes Rendus. Mathématique
Vector bundles
Moduli space
Algebraic stacks
title Moduli of rank 2 vector bundles over a curve
title_full Moduli of rank 2 vector bundles over a curve
title_fullStr Moduli of rank 2 vector bundles over a curve
title_full_unstemmed Moduli of rank 2 vector bundles over a curve
title_short Moduli of rank 2 vector bundles over a curve
title_sort moduli of rank 2 vector bundles over a curve
topic Vector bundles
Moduli space
Algebraic stacks
url https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.628/
work_keys_str_mv AT zhangxucheng moduliofrank2vectorbundlesoveracurve