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Singularities of the hypergeometric system associated with a monomial curve

Author(s): Francisco Jesús Castro-Jiménez; Nobuki Takayama
Journal: Trans. Amer. Math. Soc. 355 (2003), 3761-3775.
MSC (2000): Primary 32C38, 13N10; Secondary 13P10, 14F10, 14M25
Posted: May 29, 2003
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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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Additional Information:

Francisco Jesús Castro-Jiménez
Affiliation: Universidad de Sevilla, Depto. de Álgebra, Apdo. 1160, E-41080 Sevilla, Spain
Email: castro@us.es

Nobuki Takayama
Affiliation: Department of Mathematics, Faculty of Science, Kobe University, 1-1, Rokkodai, Nada-ku, Kobe 657-8501, Japan
Email: takayama@math.kobe-u.ac.jp

DOI: 10.1090/S0002-9947-03-03300-2
PII: S 0002-9947(03)03300-2
Keywords: Algebraic geometry, $\mathcal{D}$-modules, toric varieties, hypergeometric systems
Received by editor(s): November 15, 2002
Posted: May 29, 2003
Additional Notes: The first author was partially supported by BFM-2001-3164, FQM-218 and FQM-813
Copyright of article: Copyright 2003, American Mathematical Society

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