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REGULARIZABLE CYCLES ASSOCIATED WITH A SELBERG TYPE INTEGRAL UNDER SOME RESONANCE CONDITION

KATSUHISA MIMACHI

Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan

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and

MASAAKI YOSHIDA

Department of Mathematics, Kyushu University, Ropponmatsu, Fukuoka 810-8560, Japan

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https://doi.org/10.1142/S0129167X0700414XCited by:6 (Source: Crossref)

Abstract

Twisted homology groups attached to a Selberg type integral are studied under some resonance condition. We study the kernel of the map from the homology of compact cycles to the homology of locally finite cycles. As a result, the dimension of the image, the space of the regularizable cycles, is expressed as a special value of the generalized hypergeometric series ₃F₂.

Keywords:

AMSC: Primary 32S40, Secondary 32S20, Secondary 33C20, Secondary 33C70

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