Lectures on Formally Real Fields

A. Prestel

ISBN 10: 3540138854 / ISBN 13: 9783540138853

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1984, 1984

Beschreibung

Neuware -Absolute values and their completions - like the p-adic number fields- play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a completion has to be replaced by that of the so-called Henselization. In this book, the theory of valuations as well as of Henselizations is developed. The presentation is based on the knowledge aquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory -as to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values only. 144 pp. Englisch.

Bestandsnummer des Verkäufers 9783540138853

Bibliografische Details

• Titel: Lectures on Formally Real Fields
• Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1984
• Erscheinungsjahr: 1984
• Sprache: Englisch
• ISBN-10: 3540138854
• ISBN-13: 9783540138853
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

Absolute values and their completions - like the p-adic number fields- play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a completion has to be replaced by that of the so-called Henselization.

In this book, the theory of valuations as well as of Henselizations is developed. The presentation is based on the knowledge aquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory -as to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values only.