发表机构
University of California, Riverside（加州大学河滨分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过哈密顿约化方法，构造了单连通半单代数群幂零锥的收缩射影部分解，并实现了其通用泊松形变的基变换。
AI 中文摘要
我们证明，与单连通半单代数群相关联的幂零锥及其所有收缩（crepant）射影部分解，均可通过选择极大环面的合适稳定性参数，构造为基仿射空间的余切丛仿射闭包的哈密顿约化。我们还将这些收缩射影部分解各自的通用泊松形变的基变换，实现为基仿射空间的余切丛仿射闭包在相同稳定性参数下的GIT商。
英文摘要
We show that the nilpotent cone associated to a simply connected semisimple algebraic group, together with all its crepant projective partial resolutions, can be constructed as Hamiltonian reductions of the affine closure of the cotangent bundle of base affine space for suitable choices of stability parameter of a maximal torus. We also realize the base change of the universal Poisson deformation of each of these crepant projective partial resolutions as the GIT quotient of the affine closure of the cotangent bundle of base affine space at the same stability parameter.
