ISBN-10:
0821832069
ISBN-13:
9780821832066
Pub. Date:
09/09/2003
Publisher:
American Mathematical Society
Valuation Theory and Its Applications

Valuation Theory and Its Applications

Hardcover

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Product Details

ISBN-13: 9780821832066
Publisher: American Mathematical Society
Publication date: 09/09/2003
Series: Fields Institute Communications Series , #33
Pages: 459
Product dimensions: 6.50(w) x 1.50(h) x 9.50(d)

Table of Contents

Prefaceix
Conference Detailsx
List of Participantsxi
Two Step Descent in Modular Galois Theory, Theorems of Burnside and Cayley, and Hilbert's Thirteenth Problem1
Generalized Taylor Formulae, Computations in Real Closed Valued Fields and Quantifier Elimination33
The Arithmetic-Arboreal Residue Structure of a Prufer Domain, I59
Left Valuation Rings, Left Cones, and a Question of Frege's81
Divisorial Valuations Dominating Rational Surface Singularities89
Valuations and Hermitian Forms on Skew Fields103
Resolution of Morphisms117
Rigid Subanalytic Sets141
Dubrovin Valuation Rings and Orders in Central Simple Algebras151
Q-adequate Bicyclic Bicubic Fields163
Valued Fields and Covers in Characteristic p175
Line Bundles on Rigid Analytic Spaces205
The Fixed-Point Theorems of Priess-Crampe and Ribenboim in Logic Programming219
The Minimum Property of Krasner's Constant237
About Merckel's Lemma247
Bounds for Representations of Polynomials Positive on Compact Semi-Algebraic Sets253
Model Theory of Real Closed Rings261
History of Valuation Theory-Part I291
A Density Property for PpC-fields357
Valuation Theory in Rigid Geometry and Curves over Valuation Rings369
Valuation Theory on Finite Dimensional Division Algebras385

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