Maximal variation of linear systems
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915737461850112 |
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| author | Beauville, Arnaud |
| author_facet | Beauville, Arnaud |
| contents | Let X be a smooth projective complex variety, and L a line bundle on X . We say that the linear system |L| has maximal variation if its elements have the maximum number dim|L| of moduli. We discuss some cases where this situation is expected: hypersurfaces, double coverings of the projective space, K3 surfaces, hyperkahler manifolds, and abelian varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22329 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Maximal variation of linear systems Beauville, Arnaud Algebraic Geometry Let X be a smooth projective complex variety, and L a line bundle on X . We say that the linear system |L| has maximal variation if its elements have the maximum number dim|L| of moduli. We discuss some cases where this situation is expected: hypersurfaces, double coverings of the projective space, K3 surfaces, hyperkahler manifolds, and abelian varieties. |
| title | Maximal variation of linear systems |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2511.22329 |