Rational maps and $\mathrm{K3}$ surfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914112464748544 |
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| author | Karzhemanov, Ilya Konovalov, Grisha |
| author_facet | Karzhemanov, Ilya Konovalov, Grisha |
| contents | We prove that generic complex projective $\mathrm{K3}$ surface $S$ does not admit a dominant rational map $A\, -\!\to S$, which is not an isomorphism, from a surface $A$ with trivial canonical class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1910_06655 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Rational maps and $\mathrm{K3}$ surfaces Karzhemanov, Ilya Konovalov, Grisha Algebraic Geometry We prove that generic complex projective $\mathrm{K3}$ surface $S$ does not admit a dominant rational map $A\, -\!\to S$, which is not an isomorphism, from a surface $A$ with trivial canonical class. |
| title | Rational maps and $\mathrm{K3}$ surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/1910.06655 |