A gluing construction of projective K3 surfacesArticle
Authors: Takayuki Koike 1; Takato Uehara 2
0000-0002-7860-1899##NULL
Takayuki Koike;Takato Uehara
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.