Betti numbers for certain Cohen-Macaulay tangent cones

In this article, we compute Betti numbers for a Cohen-Macaulay tangent cone of a monomial curve in the affine \(4\)-space corresponding to a pseudo symmetric numerical semigroup. As a byproduct, we also show that for these semigroups, being of homogeneous type and homogeneous are equivalent properti...

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Veröffentlicht in:	arXiv.org 2018-10
Hauptverfasser:	Mesut \c{S}ahin, Nil \c{S}ahin
Format:	Artikel
Sprache:	eng
Schlagworte:	Cones Mathematics - Algebraic Geometry Mathematics - Commutative Algebra Semigroups
Online-Zugang:	Volltext
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Zusammenfassung:	In this article, we compute Betti numbers for a Cohen-Macaulay tangent cone of a monomial curve in the affine \(4\)-space corresponding to a pseudo symmetric numerical semigroup. As a byproduct, we also show that for these semigroups, being of homogeneous type and homogeneous are equivalent properties.
ISSN:	2331-8422
DOI:	10.48550/arxiv.1803.07287