Device profile is: SEO_AGENT

Valuations, Orderings, and Milnor $K$-Theory

Auteur:  | 
Bindwijze: Hardcover

Samenvatting

Auteur: Ido Efrat

  • Engels
  • 288 pagina's
  • American Mathematical Society
  • maart 2006
Alle productspecificaties

This monograph is a comprehensive exposition of the modern theory of valued and ordered fields. It presents the classical aspects of such fields: their arithmetic, topology, and Galois theory. Deeper cohomological aspects are studied in its last part in an elementary manner. This is done by means of the newly developed theory of generalized Milnor $K$-rings.The book emphasizes the close connections and interplay between valuations and orderings, and to a large extent, studies them in a unified manner. The presentation is almost entirely self-contained. In particular, the text develops the needed machinery of ordered abelian groups. This is then used throughout the text to replace the more classical techniques of commutative algebra. Likewise, the book provides an introduction to the Milnor $K$-theory. The reader is introduced to the valuation-theoretic techniques as used in modern Galois theory, especially in applications to birational anabelian geometry, where one needs to detect valuations from their cohomological footprints . These powerful techniques are presented here for the first time in a unified and elementary way.

Review Valuations, Orderings, and Milnor

De reviews worden geladen.

Productspecificaties

Productinformatie

Auteur Ido Efrat
Taal Engels
Afmetingen 0x0x0 mm
Gewicht 737,00 gram
ISBN10 082184041X
ISBN13 9780821840412

Je vindt dit boek in

Categorieën School en studie > Wiskunde > Algebra
  School en studie > Wiskunde > Analyse

Review Valuations, Orderings, and Milnor

De reviews worden geladen.

Niet leverbaar

Zet op verlanglijstje

Houd er rekening mee dat het artikel niet
altijd weer terug op voorraad komt.

Anderen bekeken ook:

Calculus
James Stewart
81,48
To Kill a Mockingbird
Harper Lee
7,99
Thinking, Fast and Slow
Daniel Kahneman
11,89
Bekijk de hele lijst

Vragen en antwoorden

Vragen en antwoorden worden geladen.

Naar boven