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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2603.17517 |
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| _version_ | 1866913165042778112 |
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| author | Zhang, Yanglong Zhou, Mingshuo |
| author_facet | Zhang, Yanglong Zhou, Mingshuo |
| contents | For a classical simple and simply connected group $G$, let $\mathcal{M}_{G,ω}$ be the moduli space of $ω$-semistable parabolic $G$-bundles on a complex smooth projective curve of genus $g$. We prove two results in this article: (1) $\mathcal{M}_{G,ω}$ is of Fano type when $g\geq 3$; (2) the algebra of conformal blocks on any $n$-pointed stable curve for a classical simple Lie algebra is finitely generated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17517 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Moduli spaces and the algebra of conformal blocks Zhang, Yanglong Zhou, Mingshuo Algebraic Geometry For a classical simple and simply connected group $G$, let $\mathcal{M}_{G,ω}$ be the moduli space of $ω$-semistable parabolic $G$-bundles on a complex smooth projective curve of genus $g$. We prove two results in this article: (1) $\mathcal{M}_{G,ω}$ is of Fano type when $g\geq 3$; (2) the algebra of conformal blocks on any $n$-pointed stable curve for a classical simple Lie algebra is finitely generated. |
| title | Moduli spaces and the algebra of conformal blocks |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2603.17517 |