Monodromy at infinity of A-hypergeometric functions and toric compactifications

Kiyoshi Takeuchi

doi:10.1007/s00208-010-0501-y

Monodromy at infinity of A-hypergeometric functions and toric compactifications

Kiyoshi Takeuchi

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We study non-confluent A-hypergeometric systems introduced by Gelfand et al. (Funct Anal Appl 23:94-106, 1989) and prove a formula for the eigenvalues of their monodromy automorphisms defined by the analytic continuations along large loops contained in complex lines parallel to the coordinate axes. The method of toric compactifications introduced in Libgober and Sperber (Compositio Math 95:287-307, 1995) and Matsui and Takeuchi (Mathematische Zeitschrift) will be used to prove our main theorem.

Original language	English
Pages (from-to)	815-831
Number of pages	17
Journal	Mathematische Annalen
Volume	348
Issue number	4
DOIs	https://doi.org/10.1007/s00208-010-0501-y
Publication status	Published - 2010
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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AB - We study non-confluent A-hypergeometric systems introduced by Gelfand et al. (Funct Anal Appl 23:94-106, 1989) and prove a formula for the eigenvalues of their monodromy automorphisms defined by the analytic continuations along large loops contained in complex lines parallel to the coordinate axes. The method of toric compactifications introduced in Libgober and Sperber (Compositio Math 95:287-307, 1995) and Matsui and Takeuchi (Mathematische Zeitschrift) will be used to prove our main theorem.

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Monodromy at infinity of A-hypergeometric functions and toric compactifications

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