@article{b6567c062b6042bc80098f8c90547f61,
title = "A gluing construction of projective K3 surfaces",
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.",
keywords = "blow-up of the projective plane at nine general points, K3 surfaces, Levi-flat hypersurfaces",
author = "Takayuki Koike and Takato Uehara",
note = "Funding Information: Takayuki Koike Department of Mathematics, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Osaka 558-8585, Japan e-mail: tkoike@osaka-cu.ac.jp Takato Uehara Department of Mathematics, Faculty of Science, Okayama University, 1-1-1, Tsushimanaka, Okayama, 700-8530, Japan e-mail: takaue@okayama-u.ac.jp The first author is supported by JSPS KAKENHI Grant Number 20K14313 and by the program Leading Initiative for Excellent Young Researchers (LEADER, No. J171000201). The second author is supported by JSPS KAKENHI Grant Number 19K03544. Publisher Copyright: {\textcopyright} by the author(s).",
year = "2022",
doi = "10.46298/epiga.2022.volume6.8504",
language = "English",
volume = "6",
journal = "Epijournal de Geometrie Algebrique",
issn = "2491-6765",
publisher = "Association de l'Epijournal de Geometrie Algebrique",
}