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arXiv · 2102.06426

On the extremal Betti numbers of squarefree monomial ideals

Luca Amata·Marilena Crupi
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Abstract

Let $K$ be a field and $S = K[x_1,\dots,x_n]$ be a polynomial ring over $K$. We discuss the behaviour of the extremal Betti numbers of the class of squarefree strongly stable ideals. More precisely, we give a numerical characterization of the possible extremal Betti numbers (values as well as positions) of such a class of squarefree monomial ideals.

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Luca Amata, Marilena Crupi. 2021-02-12. On the extremal Betti numbers of squarefree monomial ideals. https://doi.org/10.24330/ieja.969656

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