A gluing construction of projective K3 surfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913975151624192 |
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| author | Koike, Takayuki Uehara, Takato |
| author_facet | Koike, Takayuki Uehara, Takato |
| contents | We construct a non-Kummer projective K3 surface $X$ which admits compact Levi-flats by holomorphically patching two open complex surfaces obtained as the complements of tubular neighborhoods of elliptic curves embedded in blow-ups of the projective plane at nine general points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_07168 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A gluing construction of projective K3 surfaces Koike, Takayuki Uehara, Takato Algebraic Geometry Complex Variables Primary 14J28, Secondary 32G05 We construct a non-Kummer projective K3 surface $X$ which admits compact Levi-flats by holomorphically patching two open complex surfaces obtained as the complements of tubular neighborhoods of elliptic curves embedded in blow-ups of the projective plane at nine general points. |
| title | A gluing construction of projective K3 surfaces |
| topic | Algebraic Geometry Complex Variables Primary 14J28, Secondary 32G05 |
| url | https://arxiv.org/abs/2108.07168 |