Topological Constructions for Multigraded Squarefree Module

Abstract

Let R=[x1,\..., xn] and M=Rs/I a multigraded squarefree module. We discuss the construction of cochain complexes associated to M and we show how to interpret homological invariants of M in terms of topological computations. This is a generalization of the well studied case of squarefree monomial ideals.

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