Products of Jacobians as Prym-Tyurin varieties
| dc.creator | Carocca, A. | |
| dc.creator | Lange, H. | |
| dc.creator | Rodriguez, R. E. | |
| dc.creator | Rojas, A. M. | |
| dc.date | 2008-05-30 | |
| dc.date.accessioned | 2026-07-07T09:41:54Z | |
| dc.date.available | 2026-07-07T09:41:54Z | |
| dc.description | Let $X_1, ..., X_m$ denote smooth projective curves of genus $g_i \geq 2$ over an algebraically closed field of characteristic 0 and let $n$ denote any integer at least equal to $1+\max_{i=1}^m g_i$. We show that the product $JX_1 \times ... \times JX_m$ of the corresponding Jacobian varieties admits the structure of a Prym-Tyurin variety of exponent $n^{m-1}$. This exponent is considerably smaller than the exponent of the structure of a Prym-Tyurin variety known to exist for an arbitrary principally polarized abelian variety. Moreover it is given by explicit correspondences. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/0805.4785 | |
| dc.identifier | http://arxiv.org/abs/0805.4785 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161993 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H40; 14K10 | |
| dc.title | Products of Jacobians as Prym-Tyurin varieties | |
| dc.type | text |