Real fields, valuations, and quadratic forms

Karim Johannes Becher, David B. Leep

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)737-754
Number of pages18
JournalManuscripta Mathematica
Volume141
Issue number3-4
DOIs
StatePublished - Jul 2013

ASJC Scopus subject areas

  • General Mathematics

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