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arXiv · 2108.07168

A gluing construction of projective K3 surfaces

Takayuki Koike·Takato Uehara
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Abstract

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.

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Takayuki Koike, Takato Uehara. 2021-07-25. A gluing construction of projective K3 surfaces. https://doi.org/10.46298/epiga.2022.volume6.8504

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