Examples of a Non-Vanishing Conjecture of Kawamata and related results.
張毓麟博士Department of Mathematics, Purdue University, USA. 下午 3:00–4:00 鴻經館 107 室Abstract
Let M be a compact complex manifold with a positive holomorphic line bundle L,
and K be its canonical line bundle. We give some sufficient conditions for the
non-vanishing of H^0(M,K + L). We also show that the criterion can be applied to
interesting classes of examples including all compact locally hermitian
symmetric spaces of non-compact type, Mostow-Siu surfaces, K\"ahler threefolds
given by Deraux and examples of Zheng. If we have time, we will mention a little
bit about Mok's conjecture.