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Mathematics Subject Classification: Primary: 13A35, 13F55; Secondary: 14B05.
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Revista de Matemática Teoría y Aplicaciones
versión impresa ISSN 1409-2433
Rev. Mat vol.31 no.2 San José jul./dic. 2024
http://dx.doi.org/10.15517/rmta.v31i2.55788
Artículo
Sobre el umbral F-puro del ideal homogéneo máximo de un anillo de Stanley-Reisner
On the F-pure threshold of the homogeneous maximal ideal of a Stanley-Reisner ring
1Universidad Nacional Autónoma de México, Centro de Ciencias Matemáticas, Morelia, México; wagner@matmor.unam.mx
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.
Palabras clave: Umbral F-puro; Anillos de Stanley-Reisner; Anillos de característica prima.
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.
Keywords: F-pure threshold; Stanley-Reisner rings; Prime characteristic rings.
Agradecimientos
El autor agradece a Luis Núñez-Betancourt por sus útiles comentarios y sugerencias. También agradece al árbitro anónimo por sus útiles comentarios. El autor hizo este trabajo durante una estancia posdoctoral realizada gracias al Programa de Becas Posdoctorales en la UNAM (POSDOC).
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Recibido: 03 de Agosto de 2023; Aprobado: 16 de Mayo de 2024
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