Torsion Tate-Shafarevich twists of projective Lagrangian fibrations induce isomorphisms on rational cohomology that preserve Hodge structures and pairings, and the spaces are deformation-equivalent when the base is smooth and sections exist.
The special Brauer group and twisted Picard varieties
2 Pith papers cite this work. Polarity classification is still indexing.
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Brauer groups of smooth loci in linear systems are bounded by Z/2Z under ampleness, with application to computing Tate-Shafarevich groups for Jacobians of plane curves.
citing papers explorer
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Topology of projective Tate-Shafarevich twists
Torsion Tate-Shafarevich twists of projective Lagrangian fibrations induce isomorphisms on rational cohomology that preserve Hodge structures and pairings, and the spaces are deformation-equivalent when the base is smooth and sections exist.
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Brauer groups of smooth loci in linear systems and torsors over Jacobians of plane curves
Brauer groups of smooth loci in linear systems are bounded by Z/2Z under ampleness, with application to computing Tate-Shafarevich groups for Jacobians of plane curves.