Totally positive extensions and weakly isotropic forms |
| |
Authors: | Karim Johannes Becher |
| |
Institution: | 1. Fachbereich Mathematik und Statistik, D203, Universit?t Konstanz, 78457, Konstanz, Germany
|
| |
Abstract: | The aim of this article is to analyse a new field invariant, relevant to (formally) real fields, defined as the supremum of
the dimensions of all anisotropic, weakly isotropic quadratic forms over the field. This invariant is compared with the classical
u-invariant and with the Hasse number. Furthermore, in order to be able to obtain examples of fields where these invariants
take certain prescribed values, totally positive field extensions are studied. |
| |
Keywords: | 11E04 11E81 12D15 |
本文献已被 SpringerLink 等数据库收录! |
|