A gluing construction of projective K3 surfaces

Abstract

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.

Keywords

• mathematics - algebraic geometry
• mathematics - complex variables
• primary 14j28, secondary 32g05