一般型代数曲面的完全分类是代数曲面理论中一个有待解决的基本重要的问题。本项目致力于一般型代数曲面的自同构群和模空间的研究。内容主要包括一般型代数曲面的自同构群在其上同调环上的作用，光滑同伦于恒等映射的一般型代数曲面的非平凡自同构的存在性，以及一般型极小代数曲面的G-形变与其典范模型的G-形变之间的关系问题等。

An important basic open problem in algebraic surfaces is to completely classify algebraic surfaces of general type. The aim of this research program is to devoted to the study of the automorphisms and the moduli of algebraic surfaces of general type. We will consider several basic problems: the action of the group of automorphisms of an algebraic surface of general type on its cohomology ring, the existence of a non-trivial automorphism of an algebraic surface of general type which is differentially isotopic to the identity, and the relationship between G-deformations of a minimal algebraic surface of general type and G-deformations of its canonical model.