Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals

Details Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals

2010-03-10

arxiv.org/abs/1003.2149v1

Mathematics

Commutative Algebra

9 pages

Scientific paper

Two-dimensional squarefree monomial ideals can be seen as the Stanley-Reisner
ideals of graphs. The main results of this paper are combinatorial
characterizations for the Cohen-Macaulayness of ordinary and symbolic powers of
such an ideal in terms of the associated graph.

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