This research shows ascent for flat dimensions in complete intersections under finite type local homomorphisms, indicating broader applications.
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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Sather‐Wagstaff et al. (2025) studied this question.
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