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- W1969664261 abstract "The main purpose of this article in some sense is to illustrate the manner in which the classical methods of Galois descent work to impose constraints on the algebraic behavior of local rings (for contrast, see A. Grothendieck, “Seminaire de Géométrie Algébrique” 1962 I.H.E.S., fasc. I and II, 1963) . By way of example, we show in Section 2 that a factorial local domain which arises as a normal extension (see definition) of a regular local ring is necessarily a complete intersection. This is in sharp contrast to the situation for general normal domains (e.g., see M.-J, Bertin, C.R. Acad. Sci. Paris 264 (1967) , 653–656; P. Griffith, J. Pure Appl. Algebra 7 (1976) , 303–315; and R. Fossum and P. Griffith, Ann. Sci. École Norm. Sup. (4) 8 (1974) , 189–200)." @default.
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- W1969664261 date "1987-04-01" @default.
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- W1969664261 title "Normal extensions of regular local rings" @default.
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- W1969664261 doi "https://doi.org/10.1016/0021-8693(87)90008-1" @default.
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