Simplicial complexes and minimal free resolution of monomial algebras

Details Simplicial complexes and minimal free resolution of monomial algebras Simplicial complexes and minimal free resolution of monomial algebras

2008-10-27

arxiv.org/abs/0810.4836v3

J. Pure Appl. Algebra. 214(6), 2010, 850--861

Mathematics

Commutative Algebra

20 pages, this work was presented as a poster at the 'International Conference on Commutative, Combinatorial and Computational

Scientific paper

10.1016/j.jpaa.2009.08.009

This paper is concerned with the combinatorial description of the graded minimal free resolution of certain monomial algebras which includes toric rings. Concretely, we explicitly describe how the graded minimal free resolution of those algebras is related to the combinatorics of some simplicial complexes. Our description may be interpreted as an algorithmic procedure to partially compute this resolution.

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