Sobre el umbral F-puro del ideal homogéneo máximo de un anillo de Stanley-Reisner

• Badilla-Céspedes, Wágner ^[1]
  1. [1] Universidad Nacional Autónoma de México

     Universidad Nacional Autónoma de México

     México

     
• Localización: Revista de Matemática: Teoría y Aplicaciones, ISSN 2215-3373, ISSN-e 2215-3373, Vol. 31, Nº. 2, 2024 (Ejemplar dedicado a: Revista de Matemática: Teoría y Aplicaciones), págs. 153-165
• Idioma: español
• DOI: 10.15517/rmta.v31i2.55788
• Títulos paralelos:
  • On the F-pure threshold of the homogeneous maximal ideal of a Stanley-Reisner ring
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    En característica prima, el umbral F-puro es un invariante numérico que mide singularidades. Se conocen pocas estimaciones de este número. En esta nota, calculamos explícitamente el umbral F-puro del ideal homogéneo máximo en un anillo de Stanley-Reisner y demostramos que este número y la dimensión de escisión son iguales.

  • English

    In prime characteristic, the F-pure threshold is a numerical invariant measuring singularities. Few estimates of this number are known. In this note, we explicitly compute the F-pure threshold of the homogeneous maximal ideal in a Stanley-Reisner ring and prove that this number and the splitting dimension are same.

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