Cohomology of Noncommutative Hilbert Schemes
Cohomology of Noncommutative Hilbert Schemes
复制标题
非交换希尔伯特方案的上同调
DOI：
10.1007/s10468-005-8762-y
复制
发表时间：
2005
影响因子：
0.6
通讯作者：
M. Reineke
中科院分区：
文献类型：
--
作者：
M. Reineke
非交换Hilbert格式是M. V.Nori，自由代数中有限余维左理想的参数化。更一般地，考虑自由代数上自由模的有限余维子模的参数空间。这些品种的细胞分解构造，其细胞参数化的某些类型的森林。讨论了相应Poincaré多项式的渐近性及其生成函数的性质。
Noncommutative Hilbert schemes, introduced by M. V. Nori, parametrize left ideals of finite codimension in free algebras. More generally, parameter spaces of finite-codimensional submodules of free modules over free algebras are considered. Cell decompositions of these varieties are constructed, whose cells are parametrized by certain types of forests. Asymptotics for the corresponding Poincaré polynomials and properties of their generating functions are discussed.