A gluing construction of projective K3 surfacesArticleAuteurs : Takayuki Koike
1; Takato Uehara
2
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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.
Comment: final version to appear in \'Epijournal de Géometrie Algébrique
Volume : Volume 6
Publié le : 6 juillet 2022
Accepté le : 6 juillet 2022
Soumis le : 20 septembre 2021
Mots-clés : Mathematics - Algebraic Geometry, Mathematics - Complex Variables, Primary 14J28, Secondary 32G05