On the Levi-flats in Complex Tori of Dimension Two

  • Takeo Ohsawa

    Nagoya University, Nagoya, Chikusa-Ku, Japan

Abstract

Compact Levi flat real analytic hypersurfaces in complex tori of dimension two are completely classified. The method is a combination of Siu’s -regularity theory on weakly pseudoconvex domains, an updated variant of the estimate for the operator originated from Berndtsson–Charpentier, and basic arguments in complex analytic geometry.

Cite this article

Takeo Ohsawa, On the Levi-flats in Complex Tori of Dimension Two. Publ. Res. Inst. Math. Sci. 42 (2006), no. 2, pp. 361–377

DOI 10.2977/PRIMS/1166642105