Cellular free resolutions for normalizations of toric ideals
Abstract
For any toric ideal I in a polynomial ring S, we provide a combinatorial description of a free resolution of the integral closure of the S-module S/I. 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.
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