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

S. Gorchinskiya, V. Guletskiib

a 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 $\mathbb{C}$.

 Funding Agency Grant Number Russian Foundation for Basic Research 11-01-00145-a Ministry of Education and Science of the Russian Federation NSh-4713.2010.1MK-4881.2011.111 11.G34.31.0023 The first author was partially supported by the grants RFBR 11-01-00145-a, NSh-4713.2010.1 and MK-4881.2011.1 and AG Laboratory GU-HSE, RF government grant, ag. 11 11.G34.31.0023.

DOI: https://doi.org/10.1016/j.aim.2013.03.020

Bibliographic databases:

MSC: 14C15; 14C25
Accepted:28.03.2013
Language: