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Orthogonal involutions on central simple algebras and function fields of Severi–Brauer varieties

Advances in Mathematics, (2018): 455-476

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An orthogonal involution σ on a central simple algebra A, after scalar extension to the function field F(A) of the Severi–Brauer variety of A, is adjoint to a quadratic form qσ over F(A), which is uniquely defined up to a scalar factor. Some properties of the involution, such as hyperbolicity, and isotropy up to an odd-degree extension of...更多

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