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Addendum to: Hodge Classes on Self-Products of a Variety with an Automorphism

Published online by Cambridge University Press:  04 December 2007

CHAD SCHOEN
CHAD SCHOEN
Affiliation:
Department of Mathematics, Duke University, Box 90320, Durham, NC 27708-0320 U.S.A. e-mail: [email protected]
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Abstract

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There are infinitely many fundamentally distinct families of polarized Abelian fourfolds of Weil type with multiplication from the cyclotomic field of cube roots of unity. The Hodge conjecture is shown to hold at a sufficiently general fiber in any of these families.

Keywords

Hodge conjectureAbelian varieties.
Type
Research Article
Information
Compositio Mathematica , Volume 114 , Issue 3 , December 1998 , pp. 321 - 328
Copyright
© 1998 Kluwer Academic Publishers