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On the moduli space of stable surfaces with realizing the minimal volume
Valery Alexeev, Wenfei Liu, Matthias Schütt
Let be the moduli space of the KSBA stable surfaces of geometric genus realizing the minimal possible volume . We show that is a $10…
The Chevalley--Weil formula for finite group actions on higher dimensional compact complex manifolds
Wenfei Liu, Renjie Lyu
Building on the Atiyah--Singer holomorphic Lefschetz fixed-point theorem, we define ramification modules associated to the fixed loci of a finite group acting on a compact complex…
On the cohomological representations of finite automorphism groups of singular curves and compact complex spaces
Qing Liu, Wenfei Liu
Let G be a finite group acting tamely on a proper reduced curve C over an algebraically closed field. We study the G-module structure on the cohomology groups of a G-equivariant lo…
On symplectic automorphisms of a surface with genus two fibration and their action on
Jiabin Du, Wenfei Liu
Let be a complex smooth projective surface with a genus two fibration, and the group of symplectic automorphisms, fixing every holomorphic 2-forms (if any)…