Mehta, RanjanaRanjanaMehtaSaha, JoydipJoydipSahaSengupta, IndranathIndranathSengupta2025-08-302025-08-302019-08-0110.1142/S02194988195014332-s2.0-85052965132http://repository.iitgn.ac.in/handle/IITG2025/22650Bresinsky defined a class of monomial curves in 4 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 behavior of unboundedness is true for all the Betti numbers and construct an explicit minimal free resolution for the defining ideal of this class of curves.falseBetti numbers | Gröbner bases | Monomial curvesArticlehttps://arxiv.org/pdf/1801.030541 August 201951950143arJournal5WOS:000474375000003