Welcome, dear reader, to

The Valuation Theory Home Page

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Valuations simultaneously generalize the concept of order of a zero or pole in complex analysis, the order of divisibility of a rational number by a prime in number theory, and the order of contact between two varieties in algebraic or analytic geometry. As such they play a central role in various fields of mathematics, most notably commutative algebra, field theory, and algebraic geometry. The theory of valuations also has strong interactions with mathematical logic, via the model theory of valued fields.

This web site is intended to be a forum for all mathematicians who work in valuation theory or apply valuation theoretical results in their own field of research. The home page offers:

If you have suggestions, questions, ideas, news, or if you have a recent paper in valuation theory or its applications, then write to fvk@math.usask.ca.

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These pages are maintained by the VTHP Team.