Brill--Noether Generality of Curves and K3 Surfaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912837139431424 |
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| author | Shatova, Irina |
| author_facet | Shatova, Irina |
| contents | Lazarsfeld proved Brill--Noether generality of any smooth curve in the linear system $|H|$ where $(X,H)$ is a polarized K3 surface with $\mathrm{Pic}(X) = \mathbb{Z}\cdot H$. Mukai introduced the notion of Brill--Noether generality for quasi-polarized K3 surfaces. We prove Brill--Noether generality of any smooth curve in the linear system $|H|$ where $(X,H)$ is a Brill--Noether general quasi-polarized K3 surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14709 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Brill--Noether Generality of Curves and K3 Surfaces Shatova, Irina Algebraic Geometry Lazarsfeld proved Brill--Noether generality of any smooth curve in the linear system $|H|$ where $(X,H)$ is a polarized K3 surface with $\mathrm{Pic}(X) = \mathbb{Z}\cdot H$. Mukai introduced the notion of Brill--Noether generality for quasi-polarized K3 surfaces. We prove Brill--Noether generality of any smooth curve in the linear system $|H|$ where $(X,H)$ is a Brill--Noether general quasi-polarized K3 surface. |
| title | Brill--Noether Generality of Curves and K3 Surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2601.14709 |