English

On the tautological ring of a Jacobian modulo rational equivalence

Algebraic Geometry 2007-06-20 v1

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.

Keywords

Cite

@article{arxiv.0706.2814,
  title  = {On the tautological ring of a Jacobian modulo rational equivalence},
  author = {Baohua Fu and Fabien Herbaut},
  journal= {arXiv preprint arXiv:0706.2814},
  year   = {2007}
}

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