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Relations Among Heegner Cycles on Families of Abelian Surfaces

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Compositio Mathematica

Abstract

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.

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Sreekantan, R. Relations Among Heegner Cycles on Families of Abelian Surfaces. Compositio Mathematica 127, 243–271 (2001). https://doi.org/10.1023/A:1017515926669

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