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25 April 2024
 
  » arxiv » 0805.4785

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Products of Jacobians as Prym-Tyurin varieties
A. Carocca ; H. Lange ; R. E. Rodriguez ; A. M. Rojas ;
Date 30 May 2008
AbstractLet $X_1, ..., X_m$ 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 $JX_1 imes ... imes JX_m$ 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.
Source arXiv, 0805.4785
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