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Article

Non-trivial elements in the Abel–Jacobi kernels of higher-dimensional varieties

Advances in Mathematics. 2013. Vol. 241. P. 162-191.
Gorchinskiy Sergey, Guletskii V.

The purpose of this paper is to construct non-trivial elements in the Abel-Jacobi kernels in any codimension by specializing correspondences with non-trivial Hodge-theoretical invariants at points with different transcendence degrees over a subfield in C.