Compact Kähler threefolds with the action of an abelian group of maximal dynamical rank

Guolei Zhong (Institute for Basic Science)

15-Mar-2022, 09:00-10:00 (2 years ago)

Abstract: Let X be a compact Kaehler manifold. It is proved by Dinh and Sibony that, for any abelian subgroup G of the automorphism group Aut(X), if G is of positive entropy, then G is free abelian with rank no more than dim(X)-1. In the past decade, when X is projective, the extremal case rank(G)=dim(X)-1 (being maximal) has been intensively studied by Zhang. In this talk, we consider the case when X is a general compact Kaehler 3-fold and rank(G)=2. By running the G-equivariant log minimal model program, we show that such X is either rationally connected, or bimeromorphic to a quasi-etale quotient of a complex 3-torus.

algebraic geometry

Audience: researchers in the topic


ZAG (Zoom Algebraic Geometry) seminar

Series comments: Description: ZAG seminar

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Organizers: Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu
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