Cycle relations on Jacobian varieties

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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.
6 pages, latex. Appendix added with a proof by Zagier of the equivalence of Herbaut's relations and ours

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Algebraic Geometry, 14C25, 14H40

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http://salesiana.dossiersoluciones.com/handle/123456789/115545

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608606
 http://arxiv.org/abs/math/0608606

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arXiv