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math.KT2026
A new proof of the Artin-Springer theorem in Schur index 2
Anne Quéguiner-Mathieu, Jean-Pierre Tignol
We provide a new proof of the analogue of the Artin-Springer theorem for groups of type that can be represented by similitudes over an algebra of Schur index : an a…
math.KT2025
Witt groups of Severi-Brauer varieties and of function fields of conics
Anne Quéguiner-Mathieu, 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…