Relations between tautological cycles on Jacobians
| dc.creator | Moonen, Ben | |
| dc.date | 2007-06-23 | |
| dc.date | 2007-07-09 | |
| dc.date.accessioned | 2026-07-07T08:14:15Z | |
| dc.date.available | 2026-07-07T08:14:15Z | |
| dc.description | We study tautological cycle classes on the Jacobian of a curve. We prove a new result about the ring of tautological classes on a general curve that allows, among other things, easy dimension calculations and leads to some general results about the structure of this ring. Next we obtain a vanishing result for some of the generating classes p_i; this gives an improvement of an earlier result of Herbaut. Finally we lift a result of Herbaut and van der Geer-Kouvidakis to the Chow ring (as opposed to its quotient modulo algebraic equivalence) and we give a method to obtain further explicit cycle relations. As an ingredient for this we prove a theorem about how Polishchuk's operator D lifts to the tautological subalgebra of Chow(J). | |
| dc.description | 24 pages, 2 figures. Added a conjecture of van der Geer and Kouvidakis. Corrected minor mistakes | |
| dc.identifier | https://arxiv.org/abs/0706.3478 | |
| dc.identifier | http://arxiv.org/abs/0706.3478 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133058 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C25, 14H40 | |
| dc.title | Relations between tautological cycles on Jacobians | |
| dc.type | text |