The mixed Hodge structure on the fundamental group of hyperelliptic curves and higher cycles
| dc.creator | Colombo, Elisabetta | |
| dc.date | 2002-01-25 | |
| dc.date.accessioned | 2026-07-07T04:46:06Z | |
| dc.date.available | 2026-07-07T04:46:06Z | |
| dc.description | In this paper we give a geometrical interpretation of an extension of mixed Hodge structures (MHS) obtained from the canonical MHS on the group ring of the fundamental group of a hyperelliptic curve modulo the fourth power of its augmentation ideal. We show that the class of this extension coincides with the regulator image of a canonical higher cycle in a hyperelliptic jacobian. This higher cycle was introduced and studied by Collino. | |
| dc.description | 22 pages, 3 figures. To appear in: Journal of Algebraic Geometry | |
| dc.identifier | https://arxiv.org/abs/math/0201244 | |
| dc.identifier | http://arxiv.org/abs/math/0201244 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63200 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Primary 14C30; Secondary 14C25,14H30 | |
| dc.title | The mixed Hodge structure on the fundamental group of hyperelliptic curves and higher cycles | |
| dc.type | text |