Rational points in henselian discrete valuation rings
Marvin J. Greenberg (1966)
Publications Mathématiques de l'IHÉS
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Marvin J. Greenberg (1966)
Publications Mathématiques de l'IHÉS
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Joseph Lipman (1969)
Publications Mathématiques de l'IHÉS
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Jeffrey Lang (1990)
Compositio Mathematica
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George W. Bergman (1969-1970)
Séminaire Schützenberger
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Paolo Valabrega (1974)
Rendiconti del Seminario Matematico della Università di Padova
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Michael F. Artin (1969)
Publications Mathématiques de l'IHÉS
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Martine Picavet-L'Hermitte (1999)
Bollettino dell'Unione Matematica Italiana
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Sia a un intero algebrico con il polinomio minimale . Si danno condizioni necessarie e sufficienti affinché l'anello sia seminormale o -chiuso per mezzo di . Come applicazione, in particolare, si ottiene che se , , le condizioni sono espresse mediante il discriminante de .
Brian Conrad (1999)
Annales de l'institut Fourier
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This paper lays the foundations for the global theory of irreducible components of rigid analytic spaces over a complete field . We prove the excellence of the local rings on rigid spaces over . This is used to prove the standard existence theorems and to show compatibility with the notion of irreducible components for schemes and formal schemes. Behavior with respect to extension of the base field is also studied. It is often necessary to augment scheme-theoretic techniques with other...