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Abelian fiber spaces and their Tate-Shafarevich twists with sections

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arxiv 2504.21705 v1 pith:SQM6HUOD submitted 2025-04-30 math.AG math.NT

classification math.AGmath.NT
keywords abelianfibertate-shafarevichconstructrationalsectionsectionsspace
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Starting with an Abelian fiber space, the aim is to construct a Tate-Shafarevich twist that has a rational section.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Boundedness of some fibered K-trivial varieties

    math.AG 2025-07 conditional novelty 8.0 of 10

    Fixed-dimension Calabi-Yau varieties with abelian or primitive symplectic fibrations are birationally bounded, and Lagrangian-fibered primitive symplectic varieties have finitely many deformation classes.

  2. Higher direct images of dualizing sheaves III

    math.AG 2025-08 conditional novelty 7.0 of 10

    Flat projective morphisms between characteristic-zero varieties with rational singularities have locally free higher direct images of O_X and of the relative dualizing sheaf, making Pic^0(X/S) smooth.

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