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Publications [#212345] of Ezra Miller

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Peer-reviewed journal articles under review

  1. 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).