Three simplicial resolutions

2011/02/24 by Mermin, Jeff
#05E40 #13D02 #13F20 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1102.5062

Abstract

We describe the Taylor and Lyubeznik resolutions as simplicial resolutions, and use them to show that the Scarf complex of a monomial ideal is the intersection of all its minimal free resolutions.

Related

• Monomial Resolutions Supported By Simplicial Trees
• A family of simplicial resolutions which are DG-algebras
• The Buchberger resolution
• A Taylor Resolution Over Complete Intersections
• A generalization of the Taylor complex construction