A gluing construction of projective K3 surfaces
Algebraic Geometry
2025-08-06 v3 Complex Variables
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.
Keywords
Cite
@article{arxiv.2108.07168,
title = {A gluing construction of projective K3 surfaces},
author = {Takayuki Koike and Takato Uehara},
journal= {arXiv preprint arXiv:2108.07168},
year = {2025}
}
Comments
final version to appear in \'Epijournal de G\'eometrie Alg\'ebrique