Betti sequence of the projective closure of affine monomial curves

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dc.contributor.author Saha, Joydip
dc.contributor.author Sengupta, Indranath
dc.contributor.author Srivastava, Pranjal
dc.coverage.spatial United States of America
dc.date.accessioned 2023-03-17T14:42:25Z
dc.date.available 2023-03-17T14:42:25Z
dc.date.issued 2023-11
dc.identifier.citation Saha, Joydip; Sengupta, Indranath and Srivastava, Pranjal, "Betti sequence of the projective closure of affine monomial curves", Journal of Symbolic Computation, DOI: 10.1016/j.jsc.2023.02.009, vol. 119, pp. 101-111, Nov. 2023.
dc.identifier.issn 0747-7171
dc.identifier.issn 1095-855X
dc.identifier.uri https://doi.org/10.1016/j.jsc.2023.02.009
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/8657
dc.description.abstract We introduce the notion of star gluing of numerical semigroups and show that this preserves the arithmetically Cohen-Macaulay and Gorenstein properties of the projective closure. Next, we give a sufficient condition involving Gröbner basis for the matching of Betti sequences of the affine curve and its projective closure. We also study the effect of simple gluing on Betti sequences of the projective closure. Finally, we construct numerical semigroups by gluing, such that for every positive integer n, the last Betti number of the corresponding affine curve and its projective closure are both n.
dc.description.statementofresponsibility by Joydip Saha, Indranath Sengupta and Pranjal Srivastava
dc.format.extent vol. 119, pp. 101-111
dc.language.iso en_US
dc.publisher Elsevier
dc.subject Numerical semigroups
dc.subject Star gluing
dc.subject Gröbnerr basis
dc.subject Betti sequences
dc.subject Affine curve
dc.title Betti sequence of the projective closure of affine monomial curves
dc.type Journal Paper
dc.relation.journal Journal of Symbolic Computation


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