Cellular Resolutions of Monomial Modules

1997/11/19 by Dave Bayer, Bernd Sturmfels, Bayer, Dave +1 · 3 citations
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9711023

Plain TeX, with epsf.tex, 17 pages, 2 illustrations, author-supplied PostScript file available at http://www.math.columbia.edu/~bayer/papers/cellular.ps

arxiv created 1997/11/19 · arxiv updated 2009/11/30

Abstract

We construct a canonical free resolution for arbitrary monomial modules and lattice ideals. This includes monomial ideals and defining ideals of toric varieties, and it generalizes our joint results with Irena Peeva for generic ideals.

Cited by

• Cellular free resolutions for normalizations of toric ideals
• Fast free resolutions of bifiltered chain complexes
• From neural codes to homological invariants: regularity and projective dimension of polarized neural ideals

Related

• Virtual Resolutions of Monomial Ideals on Toric Varieties
• Cellular free resolutions for normalizations of toric ideals
• Cellular resolutions of monomial ideals and their Artinian reductions
• Minimal free resolutions of monomial ideals and of toric rings are supported on posets
• Pruned cellular free resolutions of monomial ideals