title   
  

Extensions of discrete valuations and their ramification theory

Efem, Şükrü Uğur (2011) Extensions of discrete valuations and their ramification theory. [Thesis]

[img]PDF - Registered users only - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
906Kb

Official URL: http://192.168.1.20/record=b1378279 (Table of Contents)

Abstract

We study how a discrete valuation v on a field K can be extended to a valuation of a finite separable extension L of K. The ramification theory of extensions of discrete valuations to a finite separable extension is very well established whenever the residue class field extension is separable. This is the so called classical ramification theory. We investigate the classical ramification theory and also the ramification theory of extensions of discrete valuations with an inseparable residue class field extension. We show that some results from classical ramification theory, such as Hilbert's different formula can be modified to be true for extensions of valuations with inseparable residue class field extensions, whereas many other classical results fail to hold.

Item Type:Thesis
Uncontrolled Keywords:Extensions of discrete valuations. -- Inseparable residue class field extension. -- Ramification theory. -- Residue class field. -- Valued fields. -- Ayrık değerlerin genişlemeleri. -- Ayrışabilir olmayan kalan sınıfı cismi genişlemeleri. -- Dallanma teorisi. -- Değerli cisimler. -- Kalan sınıfı cismi.
Subjects:Q Science > QA Mathematics
ID Code:24319
Deposited By:IC-Cataloging
Deposited On:07 Jul 2014 01:35
Last Modified:07 Jul 2014 01:35

Repository Staff Only: item control page