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Pré-Publication, Document De Travail Année : 2022

Geometric representability of 1-cycles on rationally connected threefolds

Résumé

We prove that for any rationally connected threefold X, there exists a smooth projective surface S and a family of 1-cycles on X parameterized by S, inducing an Abel-Jacobi isomorphism Alb(S) ∼ = J 3 (X). This statement was previously known for some classes of smooth Fano threefolds.
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Dates et versions

hal-03795925 , version 1 (04-10-2022)

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  • HAL Id : hal-03795925 , version 1

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Claire Voisin. Geometric representability of 1-cycles on rationally connected threefolds. 2022. ⟨hal-03795925⟩
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