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The Hodge group of an abelian variety

Published:1988 Issue:1 Volume:104 Page:61-68
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Murty V. Kumar

Abstract

Let A A be a simple abelian variety of odd dimension, defined over C {\mathbf {C}} . If the Hodge classes on A A are intersections of divisors, then the semisimple part of the Hodge group of A A is as large as it is allowed to be by endomorphisms and polarizations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-104-01/S0002-9939-1988-0958044-1/S0002-9939-1988-0958044-1.pdf

Reference12 articles.

1. On the Mumford-Tate group of an abelian variety with complex multiplication;Dodson, B.;J. Algebra,1987

2. Interscience Tracts in Pure and Applied Mathematics, No. 10;Jacobson, Nathan,1962

3. Families of abelian varieties;Mumford, David,1966

4. \bysame, Abelian varieties, Tata Institute Lecture Notes, Oxford, 1974.

5. Algebraic cycles on abelian varieties;Kumar Murty, V.;Duke Math. J.,1983

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Hodge and Well Classes on Abelian Varieties;The Arithmetic and Geometry of Algebraic Cycles;2000

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