Meng Chen, Fudan U., Shanghai

On canonical stability index of projective varieties with large canonical volume

Abstract

We study the canonical stability index of nonsingular projective varieties with large canonical volume. The key part is a special form of extension theorem which also applies to study varieties of large geometric genus. Some concrete results in dimensions 4 and 5 are obtained as direct applications. In the last part we propose some open questions and conjectures. This is a joint work with Zhi Jiang from Université Paris-Sud.