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Multi-Rees algebras of strongly stable ideals

    1. [1] University of Utah

      University of Utah

      Estados Unidos

    2. [2] Colgate University

      Colgate University

      Town of Hamilton, Estados Unidos

    3. [3] Department of Mathematics, Penn State University, Greater Allegheny campus 4000 University Dr, McKeesport, PA, 15132, USA
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 75, Fasc. 1, 2024, págs. 213-246
  • Idioma: inglés
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • We prove that the multi-Rees algebra of a collection of strongly stable ideals is of fiber type. In particular, we provide a Gröbner basis for its defining ideal as a union of a Gröbner basis for its special fiber and binomial syzygies. We also study the Koszulness of based on parameters associated to the collection. Furthermore, we establish a quadratic Gröbner basis of the defining ideal of where each of the strongly stable ideals has two quadric Borel generators. As a consequence, we conclude that this multi-Rees algebra is Koszul.


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