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Rationality for generic toric rings

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Abstract.

We study generic toric rings. We prove that they are Golod rings, so the Poincaré series of the residue field is rational. We classify when such a ring is Koszul, and compute its rate. Also resolutions related to the initial ideal of the toric ideal with respect to reverse lexicographic order are described.

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Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA , , , , , , US

    Vesselin Gasharov & Irena Peeva

  2. Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, D-35032 Marburg, Germany ( e-mail: welker@mathematik.uni-marburg.de) , , , , , , DE

    Volkmar Welker

Authors
  1. Vesselin Gasharov
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  2. Irena Peeva
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  3. Volkmar Welker
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Received August 13, 1997; in final form October 23, 1998

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Gasharov, V., Peeva, I. & Welker, V. Rationality for generic toric rings. Math Z 233, 93–102 (2000). https://doi.org/10.1007/PL00004794

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  • DOI: https://doi.org/10.1007/PL00004794

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