Geodesic
A gluing construction of projective K3 surfaces
Épijournal de Géométrie Algébrique, Tome 6 (2022)

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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. 
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     author = {Koike, Takayuki and Uehara, Takato},
     title = {A gluing construction of projective {K3} surfaces},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
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Koike, Takayuki; Uehara, Takato. A gluing construction of projective K3 surfaces. Épijournal de Géométrie Algébrique, Tome 6 (2022). doi: 10.46298/epiga.2022.volume6.8504

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