Relations Among Heegner Cycles on Families of Abelian Surfaces
Ramesh Sreekantan
Abstract
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Ramesh Sreekantan
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.
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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.
Key concepts: Mathematics, Codimension, Pure mathematics, Abelian group, Algebra over a field