Nilpotent singularities in positive characteristic

本文研究了简单代数群李代数中幂零锥的几何性质。具体地说，目标将是研究（也许分类）在简单代数群的李代数中（横向）切片与幂零轨道闭包的交叉处产生的某些奇点，在这种情况下，地面场具有正特征。类似的问题也适用于群本身的单有效轨道闭包。

This project is concerned with the geometry of nilpotent cones in Lie algebras of simple algebraic groups. Specifically, the goal will be to study (perhaps classify) certain singularities arising as intersections of (transverse) slices to nilpotent orbit closures in Lie algebras of simple algebraic groups, in the case where the ground field has positive characteristic. Similar questions can be asked for unipotent orbit closures in the groups themselves.