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.
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Format: | Article |
Language: | English |
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Académie des sciences
2024-12-01
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Series: | Comptes Rendus. Mathématique |
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Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.628/ |
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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 |