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// 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
Fulltext:
PDF file (1509 kB)
References
Cited by
English version:
Izvestiya: Mathematics, 2005,
69
:1,
143–162
Bibliographic databases:
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, 2025