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|Abstract:||This note presents a uniform treatment of normality and three of its variants-topological, weak and seminormality-for Noetherian schemes. The key is to define these notions for pairs Z subset of X consisting of a (not necessarily reduced) scheme X and a closed, nowhere dense subscheme Z. An advantage of the new definitions is that, unlike the usual absolute ones, they are preserved by completions. This shortens some of the proofs and leads to more general results.|
|Electronic Publication Date:||2016|
|Citation:||Kollar, Janos. (2016). Variants of Normality for Noetherian Schemes. PURE AND APPLIED MATHEMATICS QUARTERLY, 12 (1 - 31|
|Pages:||1 - 31|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||PURE AND APPLIED MATHEMATICS QUARTERLY|
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