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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2005 Volume 69, Issue 1, Pages 145–164 (Mi im628)

This article is cited in 10 papers

On the numerical equivalence of algebraic cycles on potentially simple Abelian schemes of prime relative dimension

S. G. Tankeev

Vladimir State University

Abstract: Let $\pi\colon X\to C$ be a potentially simple complex Abelian scheme of prime relative dimension over a smooth projective curve. We prove that numerical equivalence of algebraic cycles on $X$ coincides with homological equivalence.

UDC: 512.6

MSC: 14C25, 14K15, 11G10

Received: 16.03.2004

DOI: 10.4213/im628


 English version:
Izvestiya: Mathematics, 2005, 69:1, 143–162

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