Jia Jia(贾甲), Tsinghua University
Let X be a compact complex manifold in Fujiki's class C, i.e., admitting a big (1,1)-class [\alpha]. Consider Aut(X) the group of biholomorphic automorphisms and Aut_{[\alpha]}(X) the subgroup of automorphisms preserving the class [\alpha] via pullback. We show that X admits an Aut_{[\alpha]}(X)-equivariant Kähler model. I will talk several applications. We show that Aut_{[\alpha]}(X) is a Lie group with only finitely many components, which generalises an early result of Fujiki and Lieberman on the Kähler case. We also show that every torsion subgroup of Aut(X) is almost abelian, and Aut(X) is finite if it is a torsion group. This is based on a joint work with Sheng Meng.
2023-12-23 16:00-17:00
Room A-110, TSIMF
Equivariant Kähler model for Fujiki's class C - Jia Jia(贾甲)
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