Publications [#212345] of Ezra Miller
Other Faculty Listings: Faculty Alphabetically | By Rank | By AreaPeer-reviewed journal articles under review
- with Christine Berkesch and Stephen Griffeth. "Systems of parameters and holonomicity of hypergeometric systems." (2012). (5 pages)
(last updated on 2012/12/14)Abstract:
The main result is an elementary proof of holonomicity for A-hypergeometric systems, with no requirements on the behavior of their singularities, originally due to Adolphson (1994) after the regular singular case by Gelfand and Gelfand (1986). Our method yields a direct de novo proof that A-hypergeometric systems form holonomic families over their parameter spaces, as shown by Matusevich, Miller, and Walther (2005).