This article is cited in 2 papers

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

S. Gorchinskiy^a, V. Guletskii<sup>b

a</sup> Steklov Mathematical Institute, Gubkina str. 8, 119991, Moscow, Russia
^b Department of Mathematical Sciences, University of Liverpool, Peach Street, Liverpool L69 7ZL, England, United Kingdom

Abstract: 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 $\mathbb{C}$.

MSC: 14C15; 14C25

Received: 25.09.2011
Accepted: 28.03.2013

Language: English

DOI: 10.1016/j.aim.2013.03.020

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