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arXiv · 2508.07097

André-Quillen homology and ascent of complete intersection flat dimensions

Keri Ann Sather-Wagstaff·Tirdad Sharif
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Abstract

Using André-Quillen homology, we prove an ascent result for different types of complete intersection flat dimensions along an essentially of finite type flat local homomorphism with complete intersection closed fiber. As an application of our result, we extend a result of Majadas Soto and of Avramov, Henriques and Şega on the André-Quillen dimension of surjective local homomorphisms to that of essentially of finite types.

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Keri Ann Sather-Wagstaff, Tirdad Sharif. 2025-08-09. André-Quillen homology and ascent of complete intersection flat dimensions. https://arxiv.org/abs/2508.07097

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