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Information Center for Mathematical Science

세미나

Information Center for Mathematical Science

세미나

KAIST 수리과학과 세미나
Title Derived length of zero entropy groups acting on compact K\\”ahler manifolds
Date 2018-12-06
Speaker De-Qi Zhang (National University of Singapore)
Sponsors 2018-12-06
Host KAIST
Place 자연과학동(E2) Room 1401
Abstract Let X be a compact Kahler manifold of dimension n > 0. Let G be a group of zero entropy automorphisms of X. Let G_0 be the set of elements in G which are isotopic to the identity. We prove that after replacing G by a suitable finite-index subgroup, G/G_0 is a unipotent group of derived length at most n-1. This is a corollary of an optimal upper bound of length involving the Kodaira dimension. We also study the algebro-geometric structure of X when it admits a group action with maximal derived length n-1. This is a joint work with Dinh and Oguiso.