Singularities of the hypergeometric system associated with a monomial curve

Castro-Jiménez, Francisco; Takayama, Nobuki

doi:10.1090/S0002-9947-03-03300-2

Singularities of the hypergeometric system associated with a monomial curve
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by Francisco Jesús Castro-Jiménez and Nobuki Takayama PDF

Trans. Amer. Math. Soc. 355 (2003), 3761-3775 Request permission

Abstract:

We compute, using $\mathcal {D}$-module restrictions, the slopes of the irregular hypergeometric system associated with a monomial curve. We also study rational solutions and reducibility of such systems.

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