A gluing construction of projective K3 surfaces
arXiv:2108.07168 · doi:10.46298/epiga.2022.volume6.8504
Abstract
We construct a non-Kummer projective K3 surface 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.
final version to appear in Épijournal de Géometrie Algébrique