Characteristic cycles and Gevrey series solutions of $A$-hypergeometric systems

Autor:	Berkesch, Christine, Fernández-Fernández, María-Cruz
Rok vydání:	2019
Předmět:	Mathematics - Algebraic Geometry 13N10 32C38 33C70 14M25
Zdroj:	Alg. Number Th. 14 (2020) 323-347
Druh dokumentu:	Working Paper
DOI:	10.2140/ant.2020.14.323
Popis:	We compute the $L$-characteristic cycle of an $A$-hypergeometric system and higher Euler-Koszul homology modules of the toric ring. We also prove upper semicontinuity results about the multiplicities in these cycles and apply our results to analyze the behavior of Gevrey solution spaces of the system. Comment: 22 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1902.04339 Zobrazit plný text záznamu View this record from Arxiv