Hypergeometric integrals and arrangements

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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.

论文关键词:Multivariable hypergeometric integral,Arrangement of hyperplanes,Local system homology and cohomology,Hypergeometric pairing,Determinant of period matrix

论文评审过程:Received 30 September 1997, Revised 18 February 1998, Available online 7 September 1999.

论文官网地址:https://doi.org/10.1016/S0377-0427(99)00036-9