GTM Seminar

Speaker: Hsueh-Yung Lin (IPMU)
Title: On the existence of algebraic approximations of compact Kähler manifolds
Date: Thu, Nov 14, 2019, 15:30 - 17:00
Place: Seminar Room B
Blackboard: (Blackboard talk)
Abstract: Let X be a compact Kähler manifold. The so-called Kodaira problem asks whether X has arbitrarily small deformations to some projective varieties. While Kodaira proved that such deformations always exist for surfaces, starting from dimension 4 there exist examples constructed by Voisin which answer the Kodaira problem in the negative. In this talk, we will mainly focus on threefolds (as well as compact Kähler manifolds of algebraic dimension a(X) = dim(X) -1 if time permits) and explain a positive solution to the Kodaira problem for these manifolds.