Valued Fields
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 valuatio...
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 valuatio...
