The weak isotropy of quadratic forms over field extensions
|Title:||The weak isotropy of quadratic forms over field extensions||Authors:||O'Shea, James||Permanent link:||http://hdl.handle.net/10197/6343||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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