Field arithmetic /

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Bibliographic Details
Author / Creator:	Fried, Michael D., 1942-
Edition:	2nd ed., rev. and enl. / by Moshe Jarden.
Imprint:	Berlin ; New York : Springer, c2005.
Description:	1 online resource (xxii, 780 p.) : ill.
Language:	English
Series:	Ergebnisse der Mathematik und ihrer Grenzgebiete, 0071-1136 ; 3. Folge, v. 11 = A series of modern surveys in mathematics Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 11.
Subject:	Algebraic fields. Algebraic number theory. Algebraic fields. Algebraic number theory.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/8875400

Hidden Bibliographic Details
Other authors / contributors:	Jarden, Moshe, 1942-
ISBN:	9783540269496 3540269495 9786610305230 6610305234 354022811X (Cloth) 9783540228110 (Cloth)
Notes:	Includes bibliographical references (p. [755]-768) and index. Description based on print version record.
Summary:	Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting arguments. New Chebotarev density variants interpret diophantine properties. Here we have the only complete treatment of Galois stratifications, used by Denef and Loeser, et al, to study Chow motives of Diophantine statements. Progress from the fi.
Other form:	Print version: Fried, Michael D., 1942- Field arithmetic. 2nd ed., rev. and enl. Berlin ; New York : Springer, c2005 354022811X 9783540228110

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