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Cycle relations on Jacobian varieties

Gerard van der Geer·Alexis Kouvidakis
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Abstract

By using the Grothendieck-Riemann-Roch theorem we derive cycle relations modulo algebraic equivalence in the Jacobian of a curve. The relations generalize the relations found by Colombo and van Geemen and are analogous to but simpler than the relations recently found by Herbaut. In an appendix due to Zagier it is shown that these sets of relations are equivalent.

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Gerard van der Geer, Alexis Kouvidakis. 2006-09-04. Cycle relations on Jacobian varieties. https://arxiv.org/abs/math/0608606

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