Algebraic cycles on Jacobian varieties
| dc.creator | Beauville, Arnaud | |
| dc.date | 2002-04-15 | |
| dc.date.accessioned | 2026-07-07T04:47:42Z | |
| dc.date.available | 2026-07-07T04:47:42Z | |
| dc.description | Let J be the Jacobian of a smooth curve C of genus g, and let A(J) be the ring of algebraic cycles modulo algebraic equivalence on J, tensored with Q. We study in this paper the smallest Q-vector subspace R of A(J) which contains C and is stable under the natural operations of A(J) : intersection and Pontryagin products, pull back and push down under multiplication by integers. We prove that this "tautological subring" is generated (over Q) by the classes of the subvarieties W_1=C, W_2=C+C, ..., W_{g-1}. If C admits a morphism of degree d onto P^1, we prove that the last d-1 classes suffice. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0204188 | |
| dc.identifier | http://arxiv.org/abs/math/0204188 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63820 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Algebraic cycles on Jacobian varieties | |
| dc.type | text |