9 citations · 38 across the 21 of their papers we have counts for
4 papers · 1 filter
Thin Severi-Brauer Varieties
Max-Albert Knus, Jean-Pierre Tignol
Severi-Brauer varieties are twisted forms of projective spaces (in the sense of Galois cohomology) and are associated in a functorial way to central simple algebras. Similarly quad…
Isotropy of orthogonal involutions
Nikita A. Karpenko
An orthogonal involution on a central simple algebra becoming isotropic over any splitting field of the algebra, becomes isotropic over a finite odd degree extension of the base fi…
Quadratic forms of dimension 8 with trivial discrimiand and Clifford algebra of index 4
Alexandre Masquelein, Anne Quéguiner-Mathieu, Jean-Pierre Tignol
Izhboldin and Karpenko proved in 2000 that any quadratic form of dimension 8 with trivial discriminant and Clifford algebra of index 4 is isometric to the transfer, with respect to…
Valuations on Algebras with Involution
J. -P. Tignol, A. R. Wadsworth
Let A be a central simple algebra with involution sigma of first or second kind. Let v be a valuation on the sigma-fixed part F of Z(A). A sigma-special v-gauge g on A is a kind of…