Automorphisms of Enriques Surfaces

代数中对几何对象进行分类的一个基本方法是通过它们的对称性，即通过描述它们的自同构。这个项目处理Enriques曲面的自同构，主要是正特征。目标是对自同构群有限的Enriques曲面进行分类。主要的技术是托雷利定理，研究这种表面上的椭圆振动，以及晶格理论。

A fundamental approach to the classification of geometric objects in algebra is via their symmetries, that is, via the description of their automorphisms. This project deals with automorphisms of Enriques surfaces, mainly in positive characteristic. The goal is the classification of Enriques surfaces, whose automorphism group is finite. The main techniques are Torelli theorems, the study of elliptic fibrations on such surfaces, as well as lattice theory.