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arXiv · 2212.06999

A Taylor Resolution Over Complete Intersections

Aleksandra Sobieska
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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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Aleksandra Sobieska. 2022-12-14. A Taylor Resolution Over Complete Intersections. https://arxiv.org/abs/2212.06999

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