Higher dimensional braid monodromy

格论在研究代数曲面的拓扑性质中起着重要的作用。利用C语言库GMP编写了一些关于格的算法，得到了关于格ES的强大的计算工具。其中最重要的算法是从正定格的Gram矩阵计算给定范数的向量列表的程序。作为应用，我们用Sigeyuki Kondo确定了特征3中Fermat四次曲面的自同构群的生成元。

The lattice theory plays an important role in the study of topological properties of algebraic surfaces. We wrote some algorithms about lattices by using C language library gmp, and obtained strong calculating tools about lattic es. The most important algorithm among them is a program that calculates the list of vectors of a given norm from a Gram matrix of a positive -definite lattice. As an application,we determined, with Sigeyuki Kondo, the generators of the automorphism group of the Fermat quartic surface in characteristic 3.