Resolutions of modules with initially linear syzygies

Abstract

We introduce the class of modules with initially linear syzygies, which includes ideals with linear quotients, and study their minimal resolutions. Using a contracting homotopy for the resolutions, we see that the minimal resolution of a matroidal monomial ideal admits a DGA structure.

arXiv comment14 pages; typos fixed, reference added, some explanations improved

Cited by in corpus (1)

• The structure of DGA resolutions of monomial ideals