TY - JOUR
T1 - Real fields, valuations, and quadratic forms
AU - Becher, Karim Johannes
AU - Leep, David B.
N1 - Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2013/7
Y1 - 2013/7
N2 - We study several field invariants arising in quadratic form theory. Some of the invariants considered are of particular interest in the study of real fields, including the length, the u-invariant, and the (reduced) stability index. In this context we give a systematic account of valuation theoretic arguments that lead to lower bounds for these invariants.
AB - We study several field invariants arising in quadratic form theory. Some of the invariants considered are of particular interest in the study of real fields, including the length, the u-invariant, and the (reduced) stability index. In this context we give a systematic account of valuation theoretic arguments that lead to lower bounds for these invariants.
UR - http://www.scopus.com/inward/record.url?scp=84878757483&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84878757483&partnerID=8YFLogxK
U2 - 10.1007/s00229-012-0597-3
DO - 10.1007/s00229-012-0597-3
M3 - Article
AN - SCOPUS:84878757483
SN - 0025-2611
VL - 141
SP - 737
EP - 754
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
IS - 3-4
ER -