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A procedure for computing the log canonical threshold of a binomial ideal

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Abstract

We present a procedure for computing the log-canonical threshold of an arbitrary ideal generated by binomials and monomials. The computation of the log canonical threshold is reduced to the problem of computing the minimum of a function, which is defined in terms of the generators of the ideal. The minimum of this function is attained at some ray of a fan which only depends on the exponents of the monomials appearing in the generators of the ideal.

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Authors and Affiliations

  1. Facultad de Educación, Cuenca, Campus Universitario, 16071, Cuenca, Spain

    R. Blanco

  2. E.T.S. Arquitectura Avda. Salamanca 18, 47014, Valladolid, Spain

    S. Encinas

Authors
  1. R. Blanco
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  2. S. Encinas
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Correspondence to S. Encinas.

Additional information

The authors were partially supported by MTM2012-35849 and MTM2015-68524-P.

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Blanco, R., Encinas, S. A procedure for computing the log canonical threshold of a binomial ideal. manuscripta math. 155, 141–181 (2018). https://doi.org/10.1007/s00229-017-0929-4

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  • DOI: https://doi.org/10.1007/s00229-017-0929-4

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