2008/05/30 by Ángel Carocca, A. Carocca, Carocca, A. +9
Mathematics · #14H40 #14K10 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #math.AG #msc:14H40 #msc:14K10
paper · pdf · doi:10.48550/arxiv.0805.4785
13 pages
arxiv created 2008/05/30 · openalex publication_date 2008/05/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let X1, ..., Xm denote smooth projective curves of genus gi ≥ 2 over an algebraically closed field of characteristic 0 and let n denote any integer at least equal to 1+maxi=1m gi. We show that the product JX1 × ... × JXm of the corresponding Jacobian varieties admits the structure of a Prym-Tyurin variety of exponent nm-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.