English

Topological Constructions for Multigraded Squarefree Module

Commutative Algebra 2015-03-17 v1

Abstract

Let R=k[x1,.˙.,xn]R=\Bbbk[x_1,\..., x_n] and M=Rs/IM=R^s/I a multigraded squarefree module. We discuss the construction of cochain complexes associated to MM and we show how to interpret homological invariants of MM in terms of topological computations. This is a generalization of the well studied case of squarefree monomial ideals.

Keywords

Cite

@article{arxiv.1004.5476,
  title  = {Topological Constructions for Multigraded Squarefree Module},
  author = {Hara Charalambous},
  journal= {arXiv preprint arXiv:1004.5476},
  year   = {2015}
}
R2 v1 2026-06-21T15:16:52.477Z