International Journal of Mathematics ( IF 0.604 ) Pub Date : 2020-11-11 , DOI: 10.1142/s0129167x2050113x
Tsung-Ju Lee; Dingxin Zhang

We investigate the solution space to certain $A$-hypergeometric $𝒟$-modules, which were defined and studied by Gelfand, Kapranov, and Zelevinsky. We show that the solution space can be identified with certain relative cohomology group of the toric variety determined by $A$, which generalizes the results of Huang, Lian, Yau and Zhu. As a corollary, we also prove the existence of rank one points for complete intersections in toric varieties.

down
wechat
bug