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Primary Components of Codimension Two Lattice Basis Ideals

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Abstract

We provide explicit combinatorial descriptions of the primary components of codimension two lattice basis ideals. As an application, we compute the set of parameters for which a bivariate Horn system of hypergeometric differential equations is holonomic.

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA

    Zekiye Sahin Eser & Laura Felicia Matusevich

Authors
  1. Zekiye Sahin Eser
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  2. Laura Felicia Matusevich
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Corresponding author

Correspondence to Laura Felicia Matusevich.

Additional information

The authors were partially supported by NSF Grant DMS 1001763.

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Eser, Z.S., Matusevich, L.F. Primary Components of Codimension Two Lattice Basis Ideals. Ann. Comb. 21, 353–373 (2017). https://doi.org/10.1007/s00026-017-0355-z

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  • DOI: https://doi.org/10.1007/s00026-017-0355-z

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