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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The Hodge group of an abelian variety
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by V. Kumar Murty
Proc. Amer. Math. Soc. 104 (1988), 61-68
DOI: https://doi.org/10.1090/S0002-9939-1988-0958044-1
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Abstract:

Let $A$ be a simple abelian variety of odd dimension, defined over ${\mathbf {C}}$. If the Hodge classes on $A$ are intersections of divisors, then the semisimple part of the Hodge group of $A$ is as large as it is allowed to be by endomorphisms and polarizations.
References
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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 104 (1988), 61-68
  • MSC: Primary 14K20; Secondary 11G10, 11G15, 14C30
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0958044-1
  • MathSciNet review: 958044