Cellular free resolutions for normalizations of toric ideals
Commutative Algebra
2025-12-22 v1 Algebraic Geometry
Abstract
For any toric ideal in a polynomial ring , we provide a combinatorial description of a free resolution of the integral closure of the -module . These new complexes arise from an extension of Bayer--Sturmfels' theory of cellular free resolutions. As applications, we unify several constructions for a resolution of the diagonal embedding of a toric variety, and compare the locally free resolutions for toric subvarieties introduced by Hanlon--Hicks--Lazarev and Brown--Erman.
Cite
@article{arxiv.2512.17871,
title = {Cellular free resolutions for normalizations of toric ideals},
author = {Christine Berkesch and Lauren Cranton Heller and Gregory G. Smith and Jay Yang},
journal= {arXiv preprint arXiv:2512.17871},
year = {2025}
}