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Folge, volume 21 · 1990

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math.AG 1

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The Tate-Shafarevich group of a polarised K3 surface

math.AG · 2025-07-30 · conditional · novelty 6.0

For a primitive polarization h on a K3 surface S, the Tate-Shafarevich group X(S,h) parametrizes exactly the Pic^0(C_η)-torsors admitting a good hyperkähler model.

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  • The Tate-Shafarevich group of a polarised K3 surface math.AG · 2025-07-30 · conditional · none · ref 5

    For a primitive polarization h on a K3 surface S, the Tate-Shafarevich group X(S,h) parametrizes exactly the Pic^0(C_η)-torsors admitting a good hyperkähler model.