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Classifying torsors of tori with Brauer groups

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arxiv 2505.10386 v2 pith:EFON44WF submitted 2025-05-15 math.AG math.NTmath.RT

Alexander Duncan , Pankaj Singh This is my paper · ORCID
classification math.AGmath.NTmath.RT
keywords toribrauerclassifyingfieldgroupstorsorsalgebraicassociated
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Using Mackey functors, we provide a general framework for classifying torsors of algebraic tori in terms of Brauer groups of finite field extensions of the base field. This generalizes Blunk's description of the tori associated to del Pezzo surfaces of degree 6 to all retract rational tori, essentially the largest class for which this is possible.

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  1. Birational Geometry of sextic del Pezzo surfaces

    math.AG 2025-07 accept novelty 7.0 of 10

    Degree 6 del Pezzo surfaces over perfect fields are classified biregularly and birationally, and are shown to be the only solid surfaces admitting infinite pliability, with explicit presentations for their birational ...

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