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Valuation Theory and Its Applications, Volume II
 
Edited by: Franz-Viktor Kuhlmann University of Saskatchewan, Saskatoon, SK, Canada
Salma Kuhlmann University of Saskatchewan, Saskatoon, SK, Canada
Murray Marshall University of Saskatchewan, Saskatoon, SK, Canada
A co-publication of the AMS and Fields Institute
Front Cover for Valuation Theory and Its Applications, Volume II
Available Formats:
Hardcover ISBN: 978-0-8218-3206-6
Product Code: FIC/33
List Price: $147.00
MAA Member Price: $132.30
AMS Member Price: $117.60
Electronic ISBN: 978-1-4704-3067-2
Product Code: FIC/33.E
List Price: $138.00
MAA Member Price: $124.20
AMS Member Price: $110.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $220.50
MAA Member Price: $198.45
AMS Member Price: $176.40
Front Cover for Valuation Theory and Its Applications, Volume II
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  • Front Cover for Valuation Theory and Its Applications, Volume II
  • Back Cover for Valuation Theory and Its Applications, Volume II
Valuation Theory and Its Applications, Volume II
Edited by: Franz-Viktor Kuhlmann University of Saskatchewan, Saskatoon, SK, Canada
Salma Kuhlmann University of Saskatchewan, Saskatoon, SK, Canada
Murray Marshall University of Saskatchewan, Saskatoon, SK, Canada
A co-publication of the AMS and Fields Institute
Available Formats:
Hardcover ISBN:  978-0-8218-3206-6
Product Code:  FIC/33
List Price: $147.00
MAA Member Price: $132.30
AMS Member Price: $117.60
Electronic ISBN:  978-1-4704-3067-2
Product Code:  FIC/33.E
List Price: $138.00
MAA Member Price: $124.20
AMS Member Price: $110.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $220.50
MAA Member Price: $198.45
AMS Member Price: $176.40
  • Book Details
     
     
    Fields Institute Communications
    Volume: 332003; 459 pp
    MSC: Primary 12; Secondary 03; 11; 13; 14; 16; 20;

    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 Prüfer 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.

    Readership

    Graduate students and research mathematicians interested in algebra, algebraic geometry, number theory, and mathematical logic.

  • Table of Contents
     
     
    • Chapters
    • Kamal Aghigh and Sudesh Khanduja - A note on tame fields
    • Matthias Aschenbrenner - Some remarks about asymptotic couples
    • H. Brungs, H. Marubayashi and E. Osmanagic - Prime segments for cones and rings
    • Vincent Cossart and Guillermo Moreno-Socías - Irreducibility criterion: A geometric point of view
    • Jan Denef and Hans Schoutens - On the decidability of the existential theory of ${\mathbb F_p}[[t]]$
    • Wenfeng Gao, David Leep, Ján Mináč and Tara Smith - Galois groups over nonrigid fields
    • Barry Green - Automorphisms of formal power series rings over a valuation ring
    • Hagen Knaf - Regular curves over Prüfer domains
    • Jochen Koenigsmann - Encoding valuations in absolute Galois groups
    • Franz-Viktor Kuhlmann, Henri Lombardi and Hervé Perdry - Dynamic computations inside the algebraic closure of a valued field
    • Gérard Leloup - Preorders, rings, lattice-ordered groups and formal power series
    • Falko Lorenz and Peter Roquette - The theorem of Grunwald-Wang in the setting of valuation theory
    • Ruth Michler - Invariants of singular plane curves
    • Jack Ohm - $\mathcal V$-rational fields
    • Hervé Perdry - A generalization of Hensel’s lemma
    • Florian Pop - Classically projective groups and pseudo classically closed fields
    • Patrick Popescu-Pampu - Approximate roots
    • Thomas Scanlon - Quantifier elimination for the relative Frobenius
    • Erwin Schörner - Ultrametric fixed point theorems and applications
    • Bernard Teissier - Valuations, deformations, and toric geometry
  • Request Review Copy
Volume: 332003; 459 pp
MSC: Primary 12; Secondary 03; 11; 13; 14; 16; 20;

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 Prüfer 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.

Readership

Graduate students and research mathematicians interested in algebra, algebraic geometry, number theory, and mathematical logic.

  • Chapters
  • Kamal Aghigh and Sudesh Khanduja - A note on tame fields
  • Matthias Aschenbrenner - Some remarks about asymptotic couples
  • H. Brungs, H. Marubayashi and E. Osmanagic - Prime segments for cones and rings
  • Vincent Cossart and Guillermo Moreno-Socías - Irreducibility criterion: A geometric point of view
  • Jan Denef and Hans Schoutens - On the decidability of the existential theory of ${\mathbb F_p}[[t]]$
  • Wenfeng Gao, David Leep, Ján Mináč and Tara Smith - Galois groups over nonrigid fields
  • Barry Green - Automorphisms of formal power series rings over a valuation ring
  • Hagen Knaf - Regular curves over Prüfer domains
  • Jochen Koenigsmann - Encoding valuations in absolute Galois groups
  • Franz-Viktor Kuhlmann, Henri Lombardi and Hervé Perdry - Dynamic computations inside the algebraic closure of a valued field
  • Gérard Leloup - Preorders, rings, lattice-ordered groups and formal power series
  • Falko Lorenz and Peter Roquette - The theorem of Grunwald-Wang in the setting of valuation theory
  • Ruth Michler - Invariants of singular plane curves
  • Jack Ohm - $\mathcal V$-rational fields
  • Hervé Perdry - A generalization of Hensel’s lemma
  • Florian Pop - Classically projective groups and pseudo classically closed fields
  • Patrick Popescu-Pampu - Approximate roots
  • Thomas Scanlon - Quantifier elimination for the relative Frobenius
  • Erwin Schörner - Ultrametric fixed point theorems and applications
  • Bernard Teissier - Valuations, deformations, and toric geometry
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