Valuations, Orderings, and Milnor $K$-Theory

Valuations, Orderings, and Milnor $K$-Theory
  • Engelstalig
  • 288 pagina's
  • 9780821840412
  • maart 2006
Alle productspecificaties

Samenvatting

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.

Productspecificaties

Auteur
Ido Efrat
Taal
Engels
Afmetingen
0x0x0 mm
Gewicht
737,00 gram
Verschijningsdatum
maart 2006
ISBN10
082184041X
ISBN13
9780821840412

Categorieën

Reviews Valuations, Orderings, and Milnor $K$-Theory

Voor dit artikel zijn nog geen reviews.

Schrijf een review
Bindwijze: Hardcover
105,00
Vermoedelijk 4-6 weken
Levertijd Tooltip
Verkoop door bol.com
  • Gratis verzending
  • 30 dagen bedenktijd en gratis retourneren
  • Ophalen bij een bol.com afhaalpunt mogelijk
  • Dag en nacht klantenservice
  • Cadeautje? Laat het voor je inpakken en bezorgen

Anderen bekeken ook:

Bekijk de hele lijst

Vragen en antwoorden

Vragen en antwoorden worden geladen.

Recent bezochte artikelen

Naar boven