Overview

This book is the second of two proceedings volumes stemming from the International Conference and Workshop on Valuation Theory held at the University of Saskatchewan (Saskatoon, SK, Canada). It contains the most recent applications of valuation theory to a broad range of mathematical ideas. Valuation theory arose in the early part of the twentieth century in connection with number theory and continues to have many important applications to algebra, geometry, and analysis. The research and survey papers in this volume cover a variety of topics, including Galois theory, the Grunwald-Wang Theorem, algebraic geometry, resolution of singularities, curves over Prufer domains, model theory of valued fields and the Frobenius, Hardy fields, Hensel's Lemma, fixed point theorems, and computations in valued fields. It is suitable for graduate students and research mathematicians interested in algebra, algebraic geometry, number theory, and mathematical logic.

Full Product Details

Author:   Franz-Viktor Kuhlmann ,  Salma Kuhlmann
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   illustrated edition
Volume:   No. 33
Weight:   1.021kg
ISBN:  

9780821832066

ISBN 10:   0821832069
Pages:   459
Publication Date:   01 November 2006
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
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Table of Contents

A note on tame fields by K. Aghigh and S. K. Khanduja Some remarks about asymptotic couples by M. Aschenbrenner Prime segments for cones and rings by H. H. Brungs, H. Marubayashi, and E. Osmanagic Irreducibility criterion: A geometric point of view by V. Cossart and G. Moreno-Socias On the decidability of the existential theory of ${\mathbb F_p}[[t]]$ by J. Denef and H. Schoutens Galois groups over nonrigid fields by W. Gao, D. B. Leep, J. Minac, and T. L. Smith Automorphisms of formal power series rings over a valuation ring by B. Green Regular curves over Prufer domains by H. Knaf Encoding valuations in absolute Galois groups by J. Koenigsmann Dynamic computations inside the algebraic closure of a valued field by F.-V. Kuhlmann, H. Lombardi, and H. Perdry Preorders, rings, lattice-ordered groups and formal power series by G. Leloup The theorem of Grunwald-Wang in the setting of valuation theory by F. Lorenz and P. Roquette Invariants of singular plane curves by R. I. Michler $\mathcal V$-rational fields by J. Ohm A generalization of Hensel's lemma by H. Perdry Classically projective groups and pseudo classically closed fields by F. Pop Approximate roots by P. Popescu-Pampu Quantifier elimination for the relative Frobenius by T. Scanlon Ultrametric fixed point theorems and applications by E. Schorner Valuations, deformations, and toric geometry by B. Teissier.

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