On normalized Horn systems

Christine Berkesch, Laura Felicia Matusevich, Uli Walther

Research output: Contribution to journalArticlepeer-review


We characterize the (regular) holonomicity of Horn systems of differential equations under a hypothesis that captures the most widely studied classical hypergeometric systems.

Original languageEnglish (US)
Pages (from-to)279-286
Number of pages8
JournalCollectanea Mathematica
Issue number2
StatePublished - May 1 2020

Bibliographical note

Funding Information:
We are grateful to Frits Beukers, Alicia Dickenstein, Brent Doran, Anton Leykin, Ezra Miller, Christopher O?Neill, Mikael Passare, and Bernd Sturmfels, who have generously shared their insight and expertise with us while we worked on this project. Parts of this work were carried out at the Institut Mittag-Leffler program on Algebraic Geometry with a view towards Applications and the MSRI program on Commutative Algebra. We thank the program organizers and participants for exciting and inspiring research atmospheres.

Publisher Copyright:
© 2019, Universitat de Barcelona.


  • D-module
  • Holonomic
  • Horn systems
  • Hypergeometric


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