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On the normality of Rees algebras associated to totally unimodular matrices

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Let A be an integral matrix with non negative entries and let K be a field. We give a sufficient condition for the normality of the monomial subring determined by the columns of A over the field K. One of the main results proves that if A is totally unimodular, then the Rees algebra of the monomial ideal over K defined by the columns of A is a normal domain.

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Authors and Affiliations

  1. Faculty of Engineering, DIMET, University of Reggio Calabria, via Graziella, (Feo di Vito), 89100, Reggio Calabria RC, Italy

    Vittoria Bonanzinga, Cesar A. Escobar & Rafael H. Villarreal

  2. Departamento de Matemáticas, Centro de Investigación y de Estudios Avanzados del IPN, Apartado, Postal 14-740, 07000, México City, D.F.

    Cesar A. Escobar & Rafael H. Villarreal

Authors
  1. Vittoria Bonanzinga
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  2. Cesar A. Escobar
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  3. Rafael H. Villarreal
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Bonanzinga, V., Escobar, C.A. & Villarreal, R.H. On the normality of Rees algebras associated to totally unimodular matrices. Results. Math. 41, 258–264 (2002). https://doi.org/10.1007/BF03322767

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