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Automorphisms of two-dimensional quadrics

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arxiv 2401.15655 v1 pith:WJJ3ZB2T submitted 2024-01-28 math.AG

classification math.AG
keywords fieldtwo-dimensionalarithmeticattainautomorphismautomorphismscharacteristicconstant
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In this paper, we find the maximum values that the Jordan constant of the automorphism group of a smooth two-dimensional rational quadric over a field of characteristic zero can attain, depending on the arithmetic properties of a field.

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Cited by 1 Pith paper

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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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