Abstract
This chapter is probably the most technical of all chapters of the book. The main aim of Chap. 5 is to present the important and very difficult Popescu’s Theorem 5.2.56 showing that every regular morphism is a filtered direct limit of smooth morphisms of finite type. The proof is quite complicated. It would be nice to find any simplification of it. Together with Rotthaus’ result 5.3.13, this will provide the identification of the class of excellent Henselian local rings with the class of local rings with Artin approximation property.
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Ionescu, C. (2023). Structure of Regular Morphisms. In: Classes of Good Noetherian Rings. Frontiers in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-22292-4_5
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