旗簇上同调中的部分 Horn 递归
代数几何
2011-12-14 v4
摘要
Horn 递归用于描述如下情形：复旗簇上同调中 Schubert 类的非零乘积由“更小”旗簇上同调中类似非零乘积所参数化的不等式来刻画。我们考虑 A 型部分旗簇，并发现其同调在 Belkale 与 Kumar 于 \cite{BK06} 中定义的杯积的某个变形上展现出 Horn 递归。我们还证明，若一个 Schubert 类的乘积在该变形上非零，则相关的结构常数可以用来自诱导 Grassmannian 的结构常数表示。
引用
@article{arxiv.math/0703462,
title = {A partial Horn recursion in the cohomology of flag varieties},
author = {Edward Richmond},
journal= {arXiv preprint arXiv:math/0703462},
year = {2011}
}
备注
v4: Final version, the current title has been changed from: "Horn recursion for a new product in the cohomology of partial flag varieties SLn/P" to appear in J. Alg. Comb., available through "online first"