Gevrey solutions of irregular hypergeometric systems in two variables

JOURNAL OF ALGEBRA

卷:339

Article

Fernandez-Fernandez, M. C.^1,2  Castro-Jimenez, F. J.¹ 

[1] Univ Seville, Dept Algebra, E-41080 Seville, Spain

[2] Univ Extremadura, Dept Matemat, E-06071 Badajoz, Caceres, Spain

关键词: Weyl algebra;    Affine monomial curve;    Toric ideal;    Hypergeometric system;    Gevrey series;    Irregular D-module;   

DOI  :  10.1016/j.jalgebra.2011.02.045

来源: Elsevier

【 摘 要 】

We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated with an affine plane monomial curve. We also describe the irregularity complex of such a system with respect to its singular support and in particular we prove, using elementary methods, that this irregularity complex is a perverse sheaf as assured by a theorem of Z. Mebkhout. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free