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Register a new userA remark on a $3$-fold constructed by Colliot-Thel`ene and Voisin
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Authors
Fumiaki Suzuki
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A classical question asks whether the Abel-Jacobi map is universal among all regular homomorphisms. In this paper, we prove that we can construct a $4$-fold which gives the negative answer in codimension $3$ if the generalized Bloch conjecture holds for a $3$-fold constructed by Colliot-Thel`ene and Voisin in the context of the study of the defect of the integral Hodge conjecture in degree $4$.
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