Hecke transformation for orthogonal bundles over curves
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910819010215936 |
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| author | Pauly, Christian Zelaci, Hacen |
| author_facet | Pauly, Christian Zelaci, Hacen |
| contents | Given an orthogonal bundle $E$ over a smooth projective curve $X$ we define a Hecke transformation in the moduli space of orthogonal bundles by performing an elementary transformation with respect to a Lagrangian submodule $L \subset E_{2x}$ at some point $x \in X$. We show that the analogue of Tyurin's duality theorem holds for orthogonal bundles. Special cases of orthogonal bundles of ranks $2,3,4$ and $6$ are studied in detail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05294 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hecke transformation for orthogonal bundles over curves Pauly, Christian Zelaci, Hacen Algebraic Geometry Given an orthogonal bundle $E$ over a smooth projective curve $X$ we define a Hecke transformation in the moduli space of orthogonal bundles by performing an elementary transformation with respect to a Lagrangian submodule $L \subset E_{2x}$ at some point $x \in X$. We show that the analogue of Tyurin's duality theorem holds for orthogonal bundles. Special cases of orthogonal bundles of ranks $2,3,4$ and $6$ are studied in detail. |
| title | Hecke transformation for orthogonal bundles over curves |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2502.05294 |