Skip Garibaldi and Holger P. Petersson: Wild Pfister forms over Henselian fields, $K$-theory, and conic division algebras

skip@mathcs.emory.edu

Submission: 2010, Feb 17

The epicenter of this paper concerns Pfister quadratic forms over a field F with a Henselian discrete valuation. All characteristics are considered but we focus on the most complicated case where the residue field has characteristic 2 but F does not. We also prove results about round quadratic forms, composition algebras, generalizations of composition algebras we call conic algebras, and central simple associative symbol algebras. Finally we give relationships between these objects and Kato's filtration on the Milnor K-groups of F.

2000 Mathematics Subject Classification: Primary 17A75; secondary 11E04, 16W60, 17A45, 19D45, 19F15

Keywords and Phrases: Primary 17A75; secondary 11E04, 16W60, 17A45, 19D45, 19F15

Full text: dvi.gz 182 k, dvi 444 k, ps.gz 1015 k, pdf.gz 695 k, pdf 751 k.


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