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On the tautological ring of a Jacobian modulo rational equivalence

Abstract : 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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Submitted on : Tuesday, June 19, 2007 - 5:07:29 PM
Last modification on : Sunday, November 27, 2022 - 2:48:05 PM
Long-term archiving on: : Thursday, April 8, 2010 - 6:06:05 PM


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  • HAL Id : hal-00156031, version 1
  • ARXIV : 0706.2814


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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