K-stability of Thaddeus' moduli of stable bundle pairs on genus two curves
| Autor: | Zhao, Junyan |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | The moduli space of bundle stable pairs $\overline{M}_C(2,\Lambda)$ on a smooth projective curve $C$, introduced by Thaddeus, is a smooth Fano variety of Picard rank two. Focusing on the genus two case, we show that its K-moduli space is isomorphic to a GIT moduli of lines in quartic del Pezzo threefolds. Additionally, we construct a natural forgetful morphism from the K-moduli of $\overline{M}_C(2,\Lambda)$ to that of the moduli spaces of stable vector bundles $\overline{N}_C(2,\Lambda)$. In particular, Thaddeus' moduli spaces for genus two curves are all K-stable. Comment: 36 pages, with an appendix joint with Benjamin Church. arXiv admin note: substantial text overlap with arXiv:2403.16747 |
| Databáze: | arXiv |
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