Monodromy at infinity of $A$-hypergeometric functions and toric compactifications

Details Monodromy at infinity of $A$-hypergeometric functions and toric compactifications Monodromy at infinity of $A$-hypergeometric functions and toric compactifications

2008-12-03

arxiv.org/abs/0812.0652v1

Mathematics

Algebraic Geometry

14 pages

Scientific paper

We study $A$-hypergeometric functions introduced by
Gelfand-Kapranov-Zelevinsky and prove a formula for the eigenvalues of their
monodromy automorphisms defined by the analytic continuaions along large loops
contained in complex lines parallel to the coordinate axes. A method of toric
compactifications will be used to prove our main theorem.

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