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- W3005241747 startingPage "165" @default.
- W3005241747 abstract "Let ( T , 𝔪 ) be a complete local (Noetherian) domain such that depth T > 1 . In addition, suppose T contains the rationals, | T | = | T ∕ 𝔪 | , and the set of all principal height-1 prime ideals of T has the same cardinality as T . We construct a universally catenary local unique factorization domain A such that the completion of A is T and such that there exist uncountably many height-1 prime ideals 𝔮 of A such that ( T ∕ ( 𝔮 ∩ A ) T ) 𝔮 is a field. Furthermore, in the case where T is a normal domain, we can make A “close” to excellent in the following sense: the formal fiber at every prime ideal of A of height not equal to 1 is geometrically regular, and uncountably many height-1 prime ideals of A have geometrically regular formal fibers." @default.
- W3005241747 created "2020-02-14" @default.
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- W3005241747 date "2020-02-04" @default.
- W3005241747 modified "2023-09-23" @default.
- W3005241747 title "Almost excellent unique factorization domains" @default.
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- W3005241747 doi "https://doi.org/10.2140/involve.2020.13.165" @default.
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