Wild Pfister forms over Henselian fields, K-theory, and conic division algebras

The epicenter of this paper concerns Pfister quadratic forms over a field 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 the base field 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.

coalbare.pdf (581K)

Skip Garibaldi < skip@mathcs.emory.edu >

Holger P. Petersson < holger.petersson@fernuni-hagen.de >