Topological Constructions for Multigraded Squarefree Module

Mathematics – Commutative Algebra

Scientific paper

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Scientific paper

Let $R=\Bbbk[x_1,\..., x_n]$ and $M=R^s/I$ 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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