Moduli of bundles and semiorthogonal decomposition
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917182526455808 |
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| author | Xu, Kai |
| author_facet | Xu, Kai |
| contents | In this paper we construct semiorthogonal decompositions of moduli of principal bundles on a curve into its symmetric powers, for both the moduli stack of all $G$-bundles and the coarse moduli space of semistable $G$-bundles. The essential ingredients in the proof include Borel-Weil-Bott theory for loop groups, highest weight structure of current group representation, derived $Θ$-stratification and local-global compatibility of Kac-Moody localization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19948 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Moduli of bundles and semiorthogonal decomposition Xu, Kai Algebraic Geometry Category Theory Representation Theory 14 In this paper we construct semiorthogonal decompositions of moduli of principal bundles on a curve into its symmetric powers, for both the moduli stack of all $G$-bundles and the coarse moduli space of semistable $G$-bundles. The essential ingredients in the proof include Borel-Weil-Bott theory for loop groups, highest weight structure of current group representation, derived $Θ$-stratification and local-global compatibility of Kac-Moody localization. |
| title | Moduli of bundles and semiorthogonal decomposition |
| topic | Algebraic Geometry Category Theory Representation Theory 14 |
| url | https://arxiv.org/abs/2512.19948 |