## 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 ; Takato Uehara

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