On two-dimensional regular local rings and a lifting problem
Paolo Valabrega (1973)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Paolo Valabrega (1973)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Joseph Becker (1977)
Annales de l'institut Fourier
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An algebra homomorphism of the locatized affine rings of an algebraic variety is continuous in the Krull topology of the respective local rings. It is not necessarily open or closed in the Krull topology. However, we show that the induced map on the associated analytic local rings is also open and closed in the Krull topology. To do this we prove a conjecture of Tougeron which states that if is an analytic curve on an analytic variety and is a formal power series which is convergent...
Bruce Bennett (1973)
Publications Mathématiques de l'IHÉS
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F. J.-B. J. Clauwens (1987)
Compositio Mathematica
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Maurizio Candilera, Valentino Cristante (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Tetsuo Nakamura (1991)
Compositio Mathematica
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Krzysztof Jan Nowak (2010)
Annales Polonici Mathematici
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Given an algebraically closed field K of characteristic zero, we prove the Abhyankar-Jung theorem for any excellent henselian ring whose completion is a formal power series ring K[[z]]. In particular, examples include the local rings which form a Weierstrass system over the field K.
F. J.-B. J. Clauwens (1988)
Compositio Mathematica
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