English

Relative Cohen-Macaulayness and relative unmixedness of bigraded modules

Commutative Algebra 2011-05-17 v1 Algebraic Geometry

Abstract

In this paper we study the finitely generated bigraded modules over a standard bigraded polynomial ring which are relative Cohen-Macaulay or relative unmixed with respect to one of the irrelevant bigraded ideals. A generalization of Reisner's criterion for Cohen-Macaulay simplicial complexes is considered.

Keywords

Cite

@article{arxiv.1105.3091,
  title  = {Relative Cohen-Macaulayness and relative unmixedness of bigraded modules},
  author = {Maryam Jahangiri and Ahad Rahimi},
  journal= {arXiv preprint arXiv:1105.3091},
  year   = {2011}
}

Comments

17 pages