Prym-Tyurin varieties via Hecke algebras
| dc.creator | Carocca, A. | |
| dc.creator | Lange, H. | |
| dc.creator | Rodriguez, R. E. | |
| dc.creator | Rojas, A. M. | |
| dc.date | 2008-05-29 | |
| dc.date | 2008-08-18 | |
| dc.date.accessioned | 2026-07-07T09:56:49Z | |
| dc.date.available | 2026-07-07T09:56:49Z | |
| dc.description | Let $G$ denote a finite group and $π: Z \to Y$ a Galois covering of smooth projective curves with Galois group $G$. For every subgroup $H$ of $G$ there is a canonical action of the corresponding Hecke algebra $\mathbb{Q}[H \backslash G/H]$ on the Jacobian of the curve $X = Z/H$. To each rational irreducible representation $\mathcal{W}$ of $G$ we associate an idempotent in the Hecke algebra, which induces a correspondence of the curve $X$ and thus an abelian subvariety $P$ of the Jacobian $JX$. We give sufficient conditions on $\mathcal{W}$, $H$, and the action of $G$ on $Z$, which imply $P$ to be a Prym-Tyurin variety. We obtain many new families of Prym-Tyurin varieties of arbitrary exponent in this way. | |
| dc.description | 24 pages. Accepted in J. Reine Angew. Math. Minor changes | |
| dc.identifier | https://arxiv.org/abs/0805.4563 | |
| dc.identifier | http://arxiv.org/abs/0805.4563 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167118 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H40; 14K10 | |
| dc.title | Prym-Tyurin varieties via Hecke algebras | |
| dc.type | text |