The resolution of the Kodaira problem for compact Kähler threefolds


Dr. Hsueh-Yung Lin

15:30:00 - 16:40:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)

Let X be a compact Kähler manifold. The so-called Kodaira problem asks whether X has algebraic approximations, namely arbitrarily small deformations to some projective variety. While Kodaira proved that algebraic approximations always exist for surfaces 50 years ago, starting from dimension 4 there are examples constructed by C. Voisin which answer the Kodaira problem in the negative. For a long time the case in dimension 3 was left widely open. In this talk, we will explain our solution to the Kodaira problem in dimension 3.