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BETTI NUMBERS FOR CERTAIN COHEN–MACAULAY TANGENT CONES
Published online by Cambridge University Press: 30 August 2018
Abstract
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.
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- Research Article
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- © 2018 Australian Mathematical Publishing Association Inc.
Footnotes
The authors were supported by the project 114F094 under the program 1001 of the Scientific and Technological Research Council of Turkey.
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