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Valuation Theory and Its Applications, Volume I

About this Title

Franz-Viktor Kuhlmann, University of Saskatchewan, Saskatoon, SK, Canada, Salma Kuhlmann, University of Saskatchewan, Saskatoon, SK, Canada and Murray Marshall, University of Saskatchewan, Saskatoon, SK, Canada, Editors

Publication: Fields Institute Communications
Publication Year: 2002; Volume 32
ISBNs: 978-0-8218-2813-7 (print); 978-1-4704-3066-5 (online)
DOI: https://doi.org/10.1090/fic/032
MathSciNet review: MR1928358
MSC: Primary 12-06; Secondary 00B25, 16-06

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Table of Contents

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Front/Back Matter

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Chapters

• Shreeram Abhyankar – Two step descent in modular Galois theory, theorems of Burnside and Cayley, and Hilbert’s Thirteenth Problem
• Mari-Emi Alonso and Henri Lombardi – Generalized Taylor formulae, computations in real closed valued fields and quantifier elimination
• Şerban Basarab – The arithmetic-arboreal residue structure of a Prüfer domain, I
• Hans-Heinrich Brungs and Günter Törner – Left valuation rings, left cones, and a question of Frege’s
• Vincent Cossart, Olivier Piltant and Ana Reguera-López – Divisorial valuations dominating rational surface singularities
• Thomas Craven – Valuations and Hermitian forms on skew fields
• Steven Cutkosky – Resolution of morphisms
• T. Gardener and Hans Schoutens – Rigid subanalytic sets
• Joachim Gräter – Dubrovin valuation rings and orders in central simple algebras
• Helen Grundman and Tara Smith – $Q$-adequate bicyclic bicubic fields
• David Harbater, Marius van der Put and Robert Guralnick – Valued fields and covers in characteristic $p$
• Urs Hartl – Line bundles on rigid analytic spaces
• Pascal Hitzler and Anthony Seda – The fixed-point theorems of Priess-Crampe and Ribenboim in logic programming
• Sudesh Khanduja – The minimum property of Krasner’s constant
• Henri Lombardi – About Merckel’s lemma
• Alexander Prestel – Bounds for representations of polynomials positive on compact semi-algebraic sets
• Alexander Prestel and Niels Schwartz – Model theory of real closed rings
• Peter Roquette – History of valuation theory—Part I
• Joachim Schmid – A density property for PpC-fields
• Marius van der Put – Valuation theory in rigid geometry and curves over valuation rings
• A. Wadsworth – Valuation theory on finite dimensional division algebras