On the twisted de Rham cohomology group of the general hypergeometric integral of type $(q+1,1\sp {N-q})$

J. Math. Sci. Univ. Tokyo
Vol. 12 (2005), No. 2, Page 165--189.

Kimura, Hironobu
On the twisted de Rham cohomology group of the general hypergeometric integral of type $(q+1,1\sp {N-q})$
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Abstract:
The twisted de Rham cohomology groups associated with the general hypergeometric integrals of type $(q +1, 1^{N-q})$ are computed. A vanishing of the cohomology groups is proved and an explicit basis of the top cohomology group is given.

Keywords: arrangement, twisted de Rham cohomology, Schur polynomial, hypergeometric integrals

Mathematics Subject Classification (1991): Primary 33C70; Secondary 33C80, 14F40.
Mathematical Reviews Number: MR2150735

Received: 2003-10-10