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Geometric representability of 1-cycles on rationally connected threefolds

Published 26 Aug 2022 in math.AG | (2208.12557v2)

Abstract: 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 ${\rm Alb}(S)\cong J3(X)$. This statement was previously known for some classes of smooth Fano threefolds.

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Authors (1)

  1. Claire Voisin 

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