We consider vector-spread Borel ideals. We show that these ideals have linear quotients and thereby we determine the graded Betti numbers and the bigraded Poincaré series. A characterization of the extremal Betti numbers of such a class of ideals is given. Finally, we classify all Cohen-Macaulay vector-spread Borel ideals.
Crupi M., Ficarra A. (2023). A note on minimal resolutions of vector-spread Borel ideals. ANALELE UNIVERSITAţII OVIDIUS CONSTANTA. SERIA MATEMATICA, 31(2), 71-84 [10.2478/auom-2023-0020].
A note on minimal resolutions of vector-spread Borel ideals
Ficarra A.Secondo
Writing – Original Draft Preparation
2023-01-01
Abstract
We consider vector-spread Borel ideals. We show that these ideals have linear quotients and thereby we determine the graded Betti numbers and the bigraded Poincaré series. A characterization of the extremal Betti numbers of such a class of ideals is given. Finally, we classify all Cohen-Macaulay vector-spread Borel ideals.
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