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· 2026 · arXiv 2602.22147

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math.NT 1

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2026 1

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Non-$R$-trivial proper projective similitudes in type $A_3\equiv D_3$

math.NT · 2026-05-09 · unverdicted · novelty 6.0

Merkurjev's construction produces degree-6 algebras with orthogonal involutions admitting non-R-trivial proper projective similitudes over fields with anisotropic torsion 3-fold Pfister forms, including transcendental extensions of local/global number fields and real closed fields.

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  • Non-$R$-trivial proper projective similitudes in type $A_3\equiv D_3$ math.NT · 2026-05-09 · unverdicted · none · ref 2

    Merkurjev's construction produces degree-6 algebras with orthogonal involutions admitting non-R-trivial proper projective similitudes over fields with anisotropic torsion 3-fold Pfister forms, including transcendental extensions of local/global number fields and real closed fields.