Characteristic cycles and Gevrey series solutions of $A$-hypergeometric systems
Algebraic Geometry
2020-06-03 v1
Abstract
We compute the -characteristic cycle of an -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.
Keywords
Cite
@article{arxiv.1902.04339,
title = {Characteristic cycles and Gevrey series solutions of $A$-hypergeometric systems},
author = {Christine Berkesch and María-Cruz Fernández-Fernández},
journal= {arXiv preprint arXiv:1902.04339},
year = {2020}
}
Comments
22 pages