On topologically trivial automorphisms of compact Kähler manifolds and algebraic surfaces

hyperkähler 流形的抛物自同构：轨道与 Betti 映射

Parabolic automorphisms of hyperk{ä}hler manifolds: Orbits and Betti maps

本文研究了带有 lagrangian 纤维的不可约 holomorphically symplectic 流形的抛物自同构，证明了相关 Betti 映射具有最大秩，从而得出诱导平移为有限阶的纤维集合是稠密的。

Equivalence of Group Actions on Riemann Surfaces

We produce for each natural number $n \geq 3$ two 1--parameter families of Riemann surfaces admitting automorphism groups with two cyclic subgroups $H_{1}$ and $H_{2}$ of orden $2^{n}$, that are conjugate in the group of orientation--preserving homeomorphism of the corresponding Riemann surfaces, but not conjugate in the group of conformal automorphisms. This property implies that the subvariety $\mathcal{M}_{g}(H_{1})$ of the moduli space $\mathcal{M}_{g}$ consisting of the points representing the Riemann surfaces of genus $g$ admitting a group of automorphisms topologically conjugate to $H_{…

关于黎曼曲面偶数阶自同构的反共形平方根的拓扑型

On the topological type of anticonformal square roots of automorphisms of even order of Riemann surfaces

本文研究亏格大于1的黎曼曲面上偶数阶共形自同构反共形平方根的拓扑等价性，证明在商曲面亏格奇偶性及群结构满足特定条件下两反共形平方根拓扑等价。