On the extremal Betti numbers of squarefree monomial ideals
Abstract
Let K be a field and S = K[x1,…,xn] 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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