BETTI NUMBERS for CERTAIN COHEN-MACAULAY TANGENT CONES

Mesut Şahin; Nil Şahin

doi:10.1017/S0004972718000898

BETTI NUMBERS for CERTAIN COHEN-MACAULAY TANGENT CONES

Mesut Şahin
, Nil Şahin

Division of Geometry

Bilkent University

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We compute Betti numbers for a Cohen-Macaulay tangent cone of a monomial curve in the affine -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.

Original language	English
Pages (from-to)	68-77
Number of pages	10
Journal	Bulletin of the Australian Mathematical Society
Volume	99
Issue number	1
DOIs	https://doi.org/10.1017/S0004972718000898
Publication status	Published - 1 Feb 2019

Keywords

Betti numbers
free resolutions
monomial curves
numerical semigroup rings
tangent cones

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10.1017/S0004972718000898

Cite this

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title = "BETTI NUMBERS for CERTAIN COHEN-MACAULAY TANGENT CONES",

abstract = "We compute Betti numbers for a Cohen-Macaulay tangent cone of a monomial curve in the affine -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.",

keywords = "Betti numbers, free resolutions, monomial curves, numerical semigroup rings, tangent cones",

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KW - monomial curves

KW - numerical semigroup rings

KW - tangent cones

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BETTI NUMBERS for CERTAIN COHEN-MACAULAY TANGENT CONES

Abstract

Keywords

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