The u-invariant of p-adic function fields

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

Over a finitely generated field extension in m variables over a p-adic field, any quadratic form in more than 2m+2 variables has a nontrivial zero. This bound is sharp. We extend this result to a wider class of fields. A key ingredient to our proofs is a recent result of Heath-Brown on systems of quadratic forms over p-adic fields.

Original languageEnglish
Pages (from-to)65-73
Number of pages9
JournalJournal fur die Reine und Angewandte Mathematik
Issue number679
DOIs
StatePublished - Jun 2013

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'The u-invariant of p-adic function fields'. Together they form a unique fingerprint.

Cite this