Irreducible quotients of A-hypergeometric systems
Irreducible quotients of A-hypergeometric systems
复制标题
A-超几何系统的不可约商
DOI：
10.1112/s0010437x10004987
复制
发表时间：
2011
影响因子：
1.8
通讯作者：
Mutsumi Saito
中科院分区：
文献类型：
--
作者：
Norihiro Nakashima;Go Okuyama;and Mutsumi Saito;Norihiro Nakashima;Mutsumi Saito
Gel’fand, Kapranov and Zelevinsky proved, using the theory of perverse sheaves, that in the Cohen–Macaulay case an A-hypergeometric system is irreducible if its parameter vector is non-resonant. In this paper we prove, using the theory of the ring of differential operators on an affine toric variety, that in general an A-hypergeometric system is irreducible if and only if its parameter vector is non-resonant. In the course of the proof, we determine the irreducible quotients of an A-hypergeometric system.
