9 citations · 38 across the 21 of their papers we have counts for
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Witt groups of Severi-Brauer varieties and of function fields of conics
Anne Quéguiner-Mathieu, Jean-Pierre Tignol
The Witt group of skew hermitian forms over a division algebra with symplectic involution is shown to be canonically isomorphic to the Witt group of symmetric bilinear forms ov…
Decomposability of orthogonal involutions in degree 12
Anne Quéguiner-Mathieu, Jean-Pierre Tignol
A theorem of Pfister asserts that every -dimensional quadratic form with trivial discriminant and trivial Clifford invariant over a field of characteristic different from d…
Transfer of quadratic forms and of quaternion algebras over quadratic field extensions
Karim Johannes Becher, Nicolas Grenier-Boley, Jean-Pierre Tignol
A theorem of Albert-Draxl states that if a tensor product of two quaternion division algebras , over a field is not a division algebra, then there exists a separable…
Involutions and stable subalgebras
Karim Johannes Becher, Nicolas Grenier-Boley, Jean-Pierre Tignol
Given a central simple algebra with involution over an arbitrary field, étale subalgebras contained in the space of symmetric elements are investigated. The method emphasizes the s…
Excellence of function fields of conics
Alexander S. Merkurjev, Jean-Pierre Tignol
For every generalized quadratic form or hermitian form over a division algebra, the anisotropic kernel of the form obtained by scalar extension to the function field of a smooth pr…
The Arason invariant of orthogonal involutions of degree 12 and 8, and quaternionic subgroups of the Brauer group
Anne Quéguiner-Mathieu, Jean-Pierre Tignol
Using the Rost invariant for torsors under Spin groups one may define an analogue of the Arason invariant for certain hermitian forms and orthogonal involutions. We calculate this…