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 _L_2 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. 361–377DOI 10.2977/PRIMS/1166642105