Pluricanonical fibrations and automorphism groups of compact complex manifolds

Time：Fri., 15:30-16:30, Jan. 17, 2025

Venue：B725, Shuangqing Complex Building A

Organizer：Caucher Birkar，Jia Jia

Speaker：Constantin Shramov

Algebraic Geometry Seminar

Organizers：

Caucher Birkar，Jia Jia 贾甲

Speaker：

Constantin Shramov (HSE University)

Time：

Fri., 15:30-16:30, Jan. 17, 2025

Venue：

B725, Shuangqing Complex Building A

Online：

Zoom Meeting ID: 262 865 5007

Passcode: YMSC

Pluricanonical fibrations and automorphism groups of compact complex manifolds

Let X be a compact complex manifold, and let Y be the image of its pluricanonical map. According to a theorem due to Deligne and Ueno, the image of the automorphism group of X in the automorphism group of Y is finite if X is Moishezon. I will discuss an approach to possible generalizations of this result for the case of arbitrary compact complex manifolds. The talk is based on a joint work with Konstantin Loginov.

DATEJanuary 15, 2025

Related News

0
Wild automorphisms of compact complex spaces
AbstractAn automorphism of a compact complex space is called wild if there is no non-trivial proper invariant analytic subset. In this talk, I will show that a compact complex surface admitting a wild automorphism is either a complex torus or an Inoue surface of certain type, and this wild automorphism has zero entropy. This is based on a joint work with Long Wang
1
Foliations on compact Kaehler manifolds
Algebraic Geometry SeminarOrganizers：Caucher Birkar，Jia Jia 贾甲Speaker：Wenhao Ou 欧文浩Chinese Academy of ScienceTime：Fri., 15:30-16:30, Sept. 12, 2025Venue：B725, Shuangqing Complex Building AOnline：Zoom Meeting ID: 262 865 5007Passcode: YMSCWe show that if the dual of a foliation on a compact Kaehler manifold is non pseudoeffective, then the foliation is induced by a meromorphic map. Th...