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Hodge and Well Classes on Abelian Varieties

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The Arithmetic and Geometry of Algebraic Cycles

Part of the book series: NATO Science Series ((ASIC,volume 548))

Abstract

This paper is motivated by the recent articles of Moonen and Zarhin. In the first [7], they show that on a simple Abelian variety of dimension 4, the Hodge ring is generated by cohomology classes of divisors and Weil classes. In the second, [8], they give criteria to determine when Weil classes on an Abelian variety (of any dimension) are in the subring generated by divisors.

E.W.R Steacie Fellow

Date: Received: November 19, 1999; Accepted: October 19, 1999

1991 Mathematics Subject Classification. Primary 14K99, 14C30

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Toronto, 100 St. George St., Toronto, ON, M5S 3G3, Canada

    V. Kumar Murty

Authors
  1. V. Kumar Murty
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Editor information

Editors and Affiliations

  1. University of Oklahoma, Norman, Oklahoma, USA

    B. Brent Gordon

  2. University of Alberta, Edmonton, Alberta, Canada

    James D. Lewis

  3. Universität-GH-Essen, Essen, Germany

    Stefan Müller-Stach

  4. Tokyo Institute of Technology, Tokyo, Japan

    Shuji Saito

  5. Queen’s University, Kingston, Ontario, Canada

    Noriko Yui

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© 2000 Springer Science+Business Media Dordrecht

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Murty, V.K. (2000). Hodge and Well Classes on Abelian Varieties. In: Gordon, B.B., Lewis, J.D., Müller-Stach, S., Saito, S., Yui, N. (eds) The Arithmetic and Geometry of Algebraic Cycles. NATO Science Series, vol 548. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4098-0_4

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  • DOI: https://doi.org/10.1007/978-94-011-4098-0_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6194-7

  • Online ISBN: 978-94-011-4098-0

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