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Article Dans Une Revue Geometriae Dedicata Année : 2007

On the tautological ring of a Jacobian modulo rational equivalence

Résumé

We consider the Chow ring with rational coefficients of the Jacobian of a curve. Assume D is a divisor in a base point free g^r_d of the curve such that the canonical divisor K is a multiple of the divisor D. We find relations between tautological cycles. We give applications for curves having a degree d covering of P^1 whose ramification points are all of order d, and then for hyperelliptic curves.
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Dates et versions

hal-00156031 , version 1 (19-06-2007)

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Baohua Fu, Fabien Herbaut. On the tautological ring of a Jacobian modulo rational equivalence. Geometriae Dedicata, 2007, 129, pp.145--153. ⟨hal-00156031⟩
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