The weak isotropy of quadratic forms over field extensions

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Title: The weak isotropy of quadratic forms over field extensions
Authors: O'Shea, James
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Date: 28-Feb-2014
Abstract: The weak isotropy index (or equivalently, sublevel) of arbitrary quadratic forms is studied. Its relationship to the level of a form is investigated. The problem of determining the set of values of the weak isotropy index of a form as it ranges over field extensions is addressed, with both admissible and inadmissible numbers being determined. An analogous investigation with respect to the level of a form is also undertaken. A treatment of forms for which the above invariants coincide concludes this article, with some recently-raised questions being resolved.
Funding Details: European Commission - Seventh Framework Programme (FP7)
Irish Research Council
Type of material: Journal Article
Publisher: Springer
Copyright (published version): 2014 Springer
Keywords: Products of quadratic forms;Function fields of quadratic forms;Witt indices;Weak isotropy index;Level of quadratic forms;Pfister forms
DOI: 10.1007/s00229-014-0671-0
Language: en
Status of Item: Peer reviewed
Appears in Collections:Business Research Collection

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