Mathematics – Algebraic Geometry
Scientific paper
2006-08-24
Mathematics
Algebraic Geometry
6 pages, latex. Appendix added with a proof by Zagier of the equivalence of Herbaut's relations and ours
Scientific paper
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.
der Geer Gerard van
Kouvidakis Alexis
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