TY - JOUR
T1 - A -hypergeometric systems and relative cohomology
AU - Lee, Tsung Ju
AU - Zhang, Dingxin
N1 - Publisher Copyright:
© 2020 World Scientific Publishing Company.
PY - 2020/12
Y1 - 2020/12
N2 - We investigate the solution space to certain A-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 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.
AB - We investigate the solution space to certain A-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 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.
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U2 - 10.1142/S0129167X2050113X
DO - 10.1142/S0129167X2050113X
M3 - Article
AN - SCOPUS:85096177880
SN - 0129-167X
VL - 31
JO - International Journal of Mathematics
JF - International Journal of Mathematics
IS - 13
M1 - 2050113
ER -