Complex K3 surfaces containing Levi-flat hypersurfaces
Complex Variables
2019-03-07 v2 Algebraic Geometry
Abstract
We show the existence of a complex K3 surface which is not a Kummer surface and has a one-parameter family of Levi-flat hypersurfaces in which all the leaves are dense. We construct such by patching two open complex surfaces obtained as the complements of tubular neighborhoods of elliptic curves embedded in blow-ups of the projective planes at general nine points.
Cite
@article{arxiv.1703.03663,
title = {Complex K3 surfaces containing Levi-flat hypersurfaces},
author = {Takayuki Koike},
journal= {arXiv preprint arXiv:1703.03663},
year = {2019}
}
Comments
withdrawed because the main part of this preprint is included in arXiv:1903.01444