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Math @ Duke
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Publications [#212345] of Ezra Miller
Papers Submitted
- 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).
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