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Cycle relations on Jacobian varieties
Gerard van der Geer, Alexis Kouvidakis
Journal: Compositio Mathematica / Volume 143 / Issue 4 / July 2007
Published online by Cambridge University Press: 17 July 2007, pp. 900-908
Print publication: July 2007
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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 by Zagier, it is shown that these sets of relations are equivalent.