A note on minimal resolutions of vector–spread Borel ideals

Crupi, Marilena; Ficarra, Antonino

doi:10.2478/auom-2023-0020

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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A note on minimal resolutions of vector–spread Borel ideals

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