Oct 24 – 28, 2022
Louvre Lens Vallée
Europe/Paris timezone
À l'occasion du 64ème anniversaire de Bruno Kahn

Geometric representability of 1-cycles on rationally connected threefolds

Oct 25, 2022, 10:15 AM
Louvre Lens Vallée

Louvre Lens Vallée

84 Rue Paul Bert, 62300 Lens


Claire Voisin (CNRS, IMJ-PRG)


We prove that for any rationally connected threefold X over the complex numbers, 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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