Hypergeometric integrals and arrangements

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:105

Article

Orlik, P

关键词: multivariable hypergeometric integral;    arrangement of hyperplanes;    local system homology and cohomology;    hypergeometric pairing;    determinant of period matrix;   

DOI  :  10.1016/S0377-0427(99)00036-9

来源: Elsevier

【 摘 要 】

This is an outline of the Aomoto-Gelfand theory of multivariable hypergeometric integrals and Varchenko's formula for the determinant of the period matrix of the hypergeometric pairing. A significant feature of this work is the use of the theory of arrangements of hyperplanes to transform a problem in analysis into one in combinatorics. (C) 1999 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free