Motivic cycles on K3 double covers of del Pezzo surfaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929579384373248 |
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| author | Sreekantan, Ramesh |
| author_facet | Sreekantan, Ramesh |
| contents | We construct motivic cohomology cycles in the group $H^3_{\mathcal M}(Z,{\mathbb Q}(2))$ where $Z$ is a K3 surface obtained as a double cover of a del Pezzo surface $X$ branched at a curve in $|-2K_X|$. The construction uses (-1) curves on the del Pezzo and is a generalization of a recent pre-print of Ken Sato arXiv: 2408.09102 where he considers the case of fourfold covers of ${\mathbb P}^2$ branched at a quartic curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03704 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Motivic cycles on K3 double covers of del Pezzo surfaces Sreekantan, Ramesh Algebraic Geometry 14C25, 14G35 14J28, 19E15 We construct motivic cohomology cycles in the group $H^3_{\mathcal M}(Z,{\mathbb Q}(2))$ where $Z$ is a K3 surface obtained as a double cover of a del Pezzo surface $X$ branched at a curve in $|-2K_X|$. The construction uses (-1) curves on the del Pezzo and is a generalization of a recent pre-print of Ken Sato arXiv: 2408.09102 where he considers the case of fourfold covers of ${\mathbb P}^2$ branched at a quartic curve. |
| title | Motivic cycles on K3 double covers of del Pezzo surfaces |
| topic | Algebraic Geometry 14C25, 14G35 14J28, 19E15 |
| url | https://arxiv.org/abs/2411.03704 |