Isomorphisms between moduli stacks of vector bundles with fixed determinant
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914170877771776 |
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| author | Alfaya, David Biswas, Indranil Gómez, Tomás L. |
| author_facet | Alfaya, David Biswas, Indranil Gómez, Tomás L. |
| contents | We classify all isomorphisms between moduli stacks of vector bundles of fixed determinant on a smooth complex projective of genus at least 4. It is shown that each isomorphism between two different moduli stacks can be described as a composition of a pullback using an isomorphism of curves, dualization of vector bundles and tensoring with the pullback of a line bundle on the curve. We finally compare the 2-group of automorphisms of the moduli stack of vector bundles with the group of automorphisms of the moduli space of semistable vector bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20473 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isomorphisms between moduli stacks of vector bundles with fixed determinant Alfaya, David Biswas, Indranil Gómez, Tomás L. Algebraic Geometry 14C34 (Primary) 14H60, 14D23 (Secondary) We classify all isomorphisms between moduli stacks of vector bundles of fixed determinant on a smooth complex projective of genus at least 4. It is shown that each isomorphism between two different moduli stacks can be described as a composition of a pullback using an isomorphism of curves, dualization of vector bundles and tensoring with the pullback of a line bundle on the curve. We finally compare the 2-group of automorphisms of the moduli stack of vector bundles with the group of automorphisms of the moduli space of semistable vector bundles. |
| title | Isomorphisms between moduli stacks of vector bundles with fixed determinant |
| topic | Algebraic Geometry 14C34 (Primary) 14H60, 14D23 (Secondary) |
| url | https://arxiv.org/abs/2511.20473 |