Gelfand-Kapranov-Zelevinsky Hypergeometric Sheaves

摘要：

　　We briefly recall the Gelfand-Kapranov-Zelevinsky (GKZ) hypergeometric system of differential equations and find an integral representation for a solution of this system in the space of generalized functions.An arithmetic analogue of this integral is the hypergeometric function over finite field introduced by Gelfand and Graev.The GKZ hypergeometric sheaf is a perverse sheaf in the derived category of e-adic sheaves on the affine space.The traces of Frobenius elements at its stalks are given by the hypergeometric function over finite field.We study the weight filtration of GKZ hypergeometric sheaf.

关键词： e-adic GKZ hypergeometric sheaf Deligne-Fourier transformation toric variety

作者: Lei Fu

作者单位: CHERN INSTITUTE OF MATHEMATICS AND LPMC, NANKAI UNIVERSITY,TIANJIN 300071, CHINA

会议类型: 国际会议

会议名称: The 6th International Congress of Chinese Mathematicians (第6届世界华人数学家大会)

会议地点: 台北

会议语种:英文

页码: 281-295

在线出版日期: 2013-07-14（万方平台首次上网日期，不代表论文的发表时间）