Artículo
Irregular hypergeometric D-modules
Autor/es | Fernández Fernández, María Cruz |
Departamento | Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2010-08-01 |
Fecha de depósito | 2016-06-08 |
Publicado en |
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Resumen | We study the irregularity of hypergeometric D-modules MA(β) via the
explicit construction of Gevrey series solutions along coordinate subspaces
in X = C n. As a consequence, we prove that along coordinate hyperplanes
the ... We study the irregularity of hypergeometric D-modules MA(β) via the explicit construction of Gevrey series solutions along coordinate subspaces in X = C n. As a consequence, we prove that along coordinate hyperplanes the combinatorial characterization of the slopes of MA(β) given by M. Schulze and U. Walther in [25] still holds for any full rank integer matrix A. We also provide a lower bound for the dimensions of the spaces of Gevrey solutions along coordinate subspaces in terms of volumes of polytopes and prove the equality for very generic parameters. Holomorphic solutions outside the singular locus of MA(β) can be understood as Gevrey solutions of order one along X at generic points and so they are included as a particular case. |
Agencias financiadoras | Ministerio de Educación y Ciencia (MEC). España Junta de Andalucía |
Identificador del proyecto | AP2005-2360
MTM2007-64509 FQM333 |
Cita | Fernández Fernández, M.C. (2010). Irregular hypergeometric D-modules. Advances in Mathematics, 224 (5), 1735-1764. |
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