Systems of parameters and holonomicity of A-hypergeometric systems

Christine Berkesch Zamaere, Stephen Griffeth, Ezra Miller

Research output: Contribution to journalArticle


We give an elementary proof of holonomicity for A-hypergeometric systems, with no requirements on the behavior of their singularities, a result 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).

Original languageEnglish (US)
Pages (from-to)281-286
Number of pages6
JournalPacific Journal of Mathematics
Issue number2
StatePublished - 2015


  • Differential operators
  • Holonomic
  • Hypergeometric
  • Toric

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