K3 surfaces of genus sixteen
| Autor: | Shigeru Mukai |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
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| Zdroj: | Minimal Models and Extremal Rays (Kyoto, 2011), J. Kollár, O. Fujino, S. Mukai and N. Nakayama, eds. (Tokyo: Mathematical Society of Japan, 2016) |
| Popis: | The generic polarized $K3$ surface $(S, h)$ of genus 16, that is, $(h^2)=30$, is described in a certain compactified moduli space $\mathcal T$ of twisted cubics in $\mathbb{P}^3$, as a complete intersection with respect to an almost homogeneous vector bundle of rank 10. As corollary we prove the unirationality of the moduli space $\mathcal{F}_{16}$ of such K3 surfaces. |
| Databáze: | OpenAIRE |
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