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A Taylor Resolution Over Complete Intersections

Published 14 Dec 2022 in math.AC | (2212.06999v1)

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.

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