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 |
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dc.subject |
Gröbnerr basis |
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dc.subject |
Betti sequences |
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dc.subject |
Affine curve |
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dc.title |
Betti sequence of the projective closure of affine monomial curves |
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dc.type |
Journal Paper |
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dc.relation.journal |
Journal of Symbolic Computation |
|