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arXiv · 1703.03663

Complex K3 surfaces containing Levi-flat hypersurfaces

Takayuki Koike
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Abstract

We show the existence of a complex K3 surface $X$ 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 $X$ 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.

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Takayuki Koike. 2017-03-10. Complex K3 surfaces containing Levi-flat hypersurfaces. https://arxiv.org/abs/1703.03663

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