quadratic forms over fields of characteristic 2 - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-25T23:34:32Z http://mathoverflow.net/feeds/question/91710 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/91710/quadratic-forms-over-fields-of-characteristic-2 quadratic forms over fields of characteristic 2 Rupert 2012-03-20T12:56:07Z 2012-03-21T09:45:06Z <p>I was wondering if anyone knows any good sources for the theory of quadratic forms over fields of characteristic 2 which are written in English?</p> http://mathoverflow.net/questions/91710/quadratic-forms-over-fields-of-characteristic-2/91727#91727 Answer by Charles Matthews for quadratic forms over fields of characteristic 2 Charles Matthews 2012-03-20T15:33:06Z 2012-03-20T15:33:06Z <p><a href="http://en.wikipedia.org/wiki/Arf_invariant" rel="nofollow">http://en.wikipedia.org/wiki/Arf_invariant</a> would be a start.</p> http://mathoverflow.net/questions/91710/quadratic-forms-over-fields-of-characteristic-2/91771#91771 Answer by Peter Arndt for quadratic forms over fields of characteristic 2 Peter Arndt 2012-03-21T00:07:55Z 2012-03-21T00:40:32Z <p><a href="http://www-nw.uni-regensburg.de/~.knm22087.mathematik.uni-regensburg.de/book.pdf" rel="nofollow">This</a> book by Manfred Knebusch starts with the limerick</p> <p>$$\begin{array}{l}\text{A Mathematician Said Who}\cr\text{Can Quote Me a Theorem thatâ€™s True?}\cr\text{For the ones that I Know}\cr\text{Are Simply not So,}\cr\text{When the Characteristic is Two!}\end{array}$$ </p> <p>It gives a uniform treatment of quadratic forms in all characteristics including two.</p> http://mathoverflow.net/questions/91710/quadratic-forms-over-fields-of-characteristic-2/91807#91807 Answer by Tom De Medts for quadratic forms over fields of characteristic 2 Tom De Medts 2012-03-21T09:44:02Z 2012-03-21T09:44:02Z <p><a href="http://www.ams.org/bookstore-getitem/item=COLL-56" rel="nofollow">The Algebraic and Geometric Theory of Quadratic Forms</a> by Elman, Karpenko and Merkurjev is a standard recent reference for the theory of quadratic forms, paying special attention to the differences between the theory of bilinear forms and the theory of quadratic forms in characteristic 2.</p>