Betti numbers of Bresinsky's curves in A4

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dc.contributor.author Mehta, Ranjana
dc.contributor.author Saha, Joydip
dc.contributor.author Sengupta, Indranath
dc.date.accessioned 2018-01-30T11:28:19Z
dc.date.available 2018-01-30T11:28:19Z
dc.date.issued 2018-01
dc.identifier.citation Mehta, Ranjana; Saha, Joydip and Sengupta, Indranath, "Betti numbers of Bresinsky's curves in A4", arXiv, Cornell University Library, DOI: arXiv:1801.03054, Jan. 2018. en_US
dc.identifier.uri http://arxiv.org/abs/1801.03054
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/3409
dc.description.abstract Bresinsky defined a class of monomial curves in A4 with the property that the minimal number of generators or the first Betti number of the defining ideal is unbounded above. We prove that the same behaviour of unboundedness is true for all the Betti numbers and construct an explicit minimal free resolution for this class.
dc.description.statementofresponsibility by Ranjana Mehta, Joydip Saha and Indranath Sengupta
dc.language.iso en en_US
dc.publisher Cornell University Library en_US
dc.subject Monomial curves en_US
dc.subject Grobner bases en_US
dc.subject Betti numbers en_US
dc.title Betti numbers of Bresinsky's curves in A4 en_US
dc.type Preprint en_US


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