Rational Solutions of the A-hypergeometric System Associated with a Monomial Curve

Authors:
  • ECEduardo Cattani
    Eduardo Cattani
  • CDCarlos D'Andrea
    Carlos D'Andrea
  • ADAlicia Dickenstein
    Alicia Dickenstein
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Abstract
We study the A-hypergeometric system associated with a monomial curve X. We explicitly construct all rational solutions and show that X is arithmetically Cohen-Macaulay if for all values of the exponents, the holonomic rank of the system equals the degree d of the curve. In the case of integral exponents we construct d independent solutions in terms of the roots of the generic univariate polynomial associated with A.