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- W2007504039 abstract "Local Noetherian domains arising as local rings of points of varieties or in the context of algebraic number theory are analytically unramified, meaning their completion has no nontrivial nilpotent elements. However, looking elsewhere, many sources of analytically ramified local Noetherian domains have been exhibited over the last seventy-five years. We give a unified approach to a number of such examples by describing classes of DVRs which occur as the normalization of an analytically ramified local Noetherian domain, as well as some that do not occur as such a normalization. We parameterize these examples, or at least large classes of them, using the module of Kähler differentials of a relevant field extension." @default.
- W2007504039 created "2016-06-24" @default.
- W2007504039 creator A5084698513 @default.
- W2007504039 date "2014-02-26" @default.
- W2007504039 modified "2023-09-30" @default.
- W2007504039 title "One-dimensional bad Noetherian domains" @default.
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- W2007504039 doi "https://doi.org/10.1090/s0002-9947-2014-05921-7" @default.
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