English

A Taylor Resolution Over Complete Intersections

Commutative Algebra 2022-12-15 v1

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.

Keywords

Cite

@article{arxiv.2212.06999,
  title  = {A Taylor Resolution Over Complete Intersections},
  author = {Aleksandra Sobieska},
  journal= {arXiv preprint arXiv:2212.06999},
  year   = {2022}
}

Comments

13 pages, 3 figures. Comments welcome!

R2 v1 2026-06-28T07:33:34.782Z