Topological Constructions for Multigraded Squarefree Module (1004.5476v1)

Abstract: 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.