## Takayuki Koike ; Takato Uehara - A gluing construction of projective K3 surfaces

epiga:8504 - Épijournal de Géométrie Algébrique, July 6, 2022, Volume 6 - https://doi.org/10.46298/epiga.2022.volume6.8504
A gluing construction of projective K3 surfaces

Authors: Takayuki Koike 1; Takato Uehara 2

• 1 Department of Mathematics, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Osaka 558-8585, Japan
• 2 Department of Mathematics, Faculty of Science, Okayama University, 1-1-1, Tsushimanaka, Okayama, 700-8530, Japan

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.

Volume: Volume 6
Published on: July 6, 2022
Accepted on: July 6, 2022
Submitted on: September 20, 2021
Keywords: Mathematics - Algebraic Geometry,Mathematics - Complex Variables,Primary 14J28, Secondary 32G05

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