Prym-Tyurin varieties using self-products of groups

Simple item page
dc.creatorCarocca, A.
dc.creatorLange, H.
dc.creatorRodriguez, R. E.
dc.creatorRojas, A. M.
dc.date2008-05-30
dc.date.accessioned2026-07-07T09:41:54Z
dc.date.available2026-07-07T09:41:54Z
dc.descriptionGiven Prym-Tyurin varieties of exponent $q$ with respect to a finite group $G$, a subgroup $H$ and a set of rational irreducible representations of $G$ satisfying some additional properties, we construct a Prym-Tyurin variety of exponent $[G:H]q$ in a natural way. We study an example of this result, starting from the dihedral group $\mathbf{D}_p$ for any odd prime $p$. This generalizes the construction of arXiv:math/0412103v2[math.AG] for $p=3$. Finally, we compute the isogeny decomposition of the Jacobian of the curve underlying the above mentioned example.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0805.4782
dc.identifierhttp://arxiv.org/abs/0805.4782
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161992
dc.subjectAlgebraic Geometry
dc.subject14H40; 14K10
dc.titlePrym-Tyurin varieties using self-products of groups
dc.typetext

Files

Collections

arXiv