$A$-hypergeometric systems and relative cohomology
Algebraic Geometry
2020-11-18 v3
Abstract
We investigate the space of solutions to certain -hypergeometric -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 , which generalizes the results of Huang, Lian, Yau, and Zhu. As a corollary, we also prove the existence of rank one points for Calabi--Yau complete intersections in toric varieties.
Cite
@article{arxiv.1902.01536,
title = {$A$-hypergeometric systems and relative cohomology},
author = {Tsung-Ju Lee and Dingxin Zhang},
journal= {arXiv preprint arXiv:1902.01536},
year = {2020}
}
Comments
18 pages. Comments are welcome! In this version, we corrected statements in Lemma 1.8 and Lemma 4.8