Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve
نویسندگان
چکیده
منابع مشابه
Gevrey Solutions of the Irregular Hypergeometric System Associated with an Affine Monomial Curve
We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated with an affine monomial curve. We also describe the irregularity complex of such a system with respect to its singular support.
متن کاملN ov 2 00 8 Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve
We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated with an affine monomial curve. We also describe the irregularity complex of such a system with respect to its singular support.
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We describe the Gevrey series solutions at singular points of irregular hypergeo-metric systems (GKZ systems) associated with affine monomial curves.
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We compute, using 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.
متن کاملThe -hypergeometric System Associated with a Monomial Curve
Introduction. In this paper we make a detailed analysis of the -hypergeometric system (or GKZ system) associated with a monomial curve and integral, hence resonant, exponents. We describe all rational solutions and show in Theorem 1.10 that they are, in fact, Laurent polynomials. We also show that for any exponent there are at most two linearly independent Laurent solutions and that the upper b...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2011
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-2010-05115-3