Topological constructions for multigraded squarefree modules

Charalambous, Hara

doi:10.1090/S0002-9939-2010-10677-9

Topological constructions for multigraded squarefree modules
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Proc. Amer. Math. Soc. 139 (2011), 2383-2397 Request permission

Abstract:

Let $R=\mathbb {k}[x_1,\ldots , x_n]$ and let $M=R^s/I$ be 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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