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Pumpl\"un, The Witt ring of a Brauer--Severi variety, Manuscripta Math.\ 97 (1998), no

· 1998 · DOI 10.1007/s002290050088

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Witt groups of Severi-Brauer varieties and of function fields of conics

math.KT · 2023-04-07 · unverdicted · novelty 7.0

The Witt group of skew hermitian forms over a division algebra D with symplectic involution is canonically isomorphic to the Witt group of symmetric bilinear forms over the Severi-Brauer variety of D with values in a suitable line bundle; for quaternion algebras, two five-term exact sequences relate

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  • Witt groups of Severi-Brauer varieties and of function fields of conics math.KT · 2023-04-07 · unverdicted · none · ref 21

    The Witt group of skew hermitian forms over a division algebra D with symplectic involution is canonically isomorphic to the Witt group of symmetric bilinear forms over the Severi-Brauer variety of D with values in a suitable line bundle; for quaternion algebras, two five-term exact sequences relate