2025/08/09 by Keri Ann Sather‐Wagstaff, Sather-Wagstaff, Keri Ann, Tirdad Sharif +1
Mathematics · #Advanced Topology and Set Theory #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2508.07097
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.