A Taylor Resolution Over Complete Intersections
arXiv:2212.06999
Abstract
The Taylor resolution is a fundamental object in the study of free resolutions over the polynomial ring, due to its explicit formula, cellular/combinatorial structure, and applicability to any and all monomial ideals. This paper generalizes the Taylor resolution to complete intersection rings via the Eisenbud--Shamash construction.
13 pages, 3 figures. Comments welcome!