Vol. 246, No. 1, 2010

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Witt groups of hermitian forms over a Brauer–Severi variety

Susanne Pumplün

Vol. 246 (2010), No. 1, 227–252
Abstract

Let X be a Brauer–Severi variety over a field k of characteristic not 2, and let D be a division algebra over k with a k-linear involution. We investigate Witt groups of certain hermitian forms over D k𝒪X.

Keywords
Witt group, hermitian forms, Brauer–Severi variety
Mathematical Subject Classification 2000
Primary: 11E81
Secondary: 14F05, 19G12
Milestones
Received: 3 March 2009
Revised: 1 February 2010
Accepted: 15 February 2010
Published: 1 May 2010
Authors
Susanne Pumplün
School of Mathematical Sciences
University of Nottingham
University Park
Nottingham NG7 2RD
United Kingdom