On the Levi-flats in Complex Tori of Dimension Two
On the Levi-flats in Complex Tori of Dimension Two
Compact Levi flat real analytic hypersurfaces in complex tori of dimension two are completely classified. The method is a combination of Siu’s \bar ∂ -regularity theory on weakly pseudoconvex domains, an updated variant of the L^2 estimate for the \bar ∂ operator originated from Berndtsson–Charpentier, and basic arguments in complex …