On solutions of codimension-one $A$-hypergeometric systems
Algebraic Geometry
2022-02-18 v1 Classical Analysis and ODEs
Abstract
By a codimension-one system we mean a system whose lattice of relations has rank one. We consider codimension-one -hypergeometric systems and explicitly construct some of the logarithmic series solutions at the origin. When the parameter vector 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.
Keywords
Cite
@article{arxiv.2202.08389,
title = {On solutions of codimension-one $A$-hypergeometric systems},
author = {Alan Adolphson and Steven Sperber},
journal= {arXiv preprint arXiv:2202.08389},
year = {2022}
}
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31 pages