Year: 2022
Type: preprint
Abstract: By a codimension-one system we mean a system whose lattice of relations has rank one. We consider codimension-one $A$-hypergeometric systems and explicitly construct some of the logarithmic series solutions at the origin. When the parameter vector $β$ is nonresonant we obtain a full set of logarithmic series solutions at the origin by this procedure. We also determine when a codimension-one system with nonresonant parameter can have maximal unipotent monodromy at the origin.
Source: arXiv (Cornell University)
Authors: Adolphson, Alan, Sperber, Steven
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4221157098