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Valuation Theory and Its Applications, Volume II

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 Click above image for expanded view 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.

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
• 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.

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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