Resumen de Tautological cycles on Jacobian varieties

Giambattista Marini

• In this paper we study the algebraic structure of the Tautological ring of a Jacobian: by the use of hard-Lefschetz-primitive classes we construct convenient generators that allow us to list and describe all the possible structures that may occur (the explicit list is given forg ≤ 9 and for a few special curves).