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math.AG2011
Rational correspondences between moduli spaces of curves defined by Hurwitz spaces
Gerard van der Geer, Alexis Kouvidakis
By associating to a curve C of genus g=2k and a pencil of degree d=k+1 the so-called trace curve (resp. the reduced trace curve) we define a rational map from the Hurwitz space of…
math.AG2010★ 1 cited
The Hodge bundle on Hurwitz spaces
Gerard van der Geer, Alexis Kouvidakis
In 2009 Kokotov, Korotkin and Zograf gave a formula for the class of the Hodge bundle on the Hurwitz space of admissible covers of genus g and degree d of the projective line. They…
math.AG2006
Cycle relations on Jacobian varieties
Gerard van der Geer, Alexis Kouvidakis
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 Co…