Bounds for the minimum distance function

Bounds for the minimum distance function

Let be a homogeneous ideal in a polynomial ring . In this paper, we extend the study of the asymptotic behavior of the minimum distance function of and give bounds for its stabilization point, , when is an -pure or a square-free monomial ideal. These bounds are related with the dimension and the Cas...

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Veröffentlicht in:Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică 2021-11, Vol.29 (3), p.229-242
Hauptverfasser: Núñez-Betancourt, Luis, Pitones, Yuriko, Villarreal, Rafael H.
Format: Artikel
Sprache:eng
Schlagworte:
Castelnuovo–Mumford regularity
Minimum distance
monomial ideal
Primary 13D40
Secondary 13H10, 13P25
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Zusammenfassung:Let be a homogeneous ideal in a polynomial ring . In this paper, we extend the study of the asymptotic behavior of the minimum distance function of and give bounds for its stabilization point, , when is an -pure or a square-free monomial ideal. These bounds are related with the dimension and the Castelnuovo–Mumford regularity of
ISSN:1844-0835
1844-0835
DOI:10.2478/auom-2021-0042