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Relations Among Heegner Cycles on Families of Abelian Surfaces

Published online by Cambridge University Press:  04 December 2007

Ramesh Sreekantan
Ramesh Sreekantan
Affiliation:
Institute for Advanced Study, Princeton, NJ 08540, U.S.A.
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Abstract

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We compute relations of rational equivalence among special codimension 2 cycles on families of Abelian surfaces using elements of a higher Chow group. These relations are similar to those between Heegner points and special divisors obtained by Zagier, Van der Geer and others.

Keywords

Heegner cycleshigher Chow groups
Type
Research Article
Information
Compositio Mathematica , Volume 127 , Issue 3 , July 2001 , pp. 243 - 271
Copyright
© 2001 Kluwer Academic Publishers