References & Citations
Mathematics > Commutative Algebra
Title: Slicing criterion for ind-smooth ring maps
(Submitted on 27 Apr 2024)
Abstract: We show that ind-smoothness of flat ring maps can be tested on constructible stratifications, even for maps of non-Noetherian rings. We prove this by generalizing ind-smoothness and ind-lci to a sequence of conditions on animated ring maps called ind-$d$-smoothness, and showing all at once that they can be tested on constructible stratifications.
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