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Article overview
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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 | Abstract: | 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 $JX_1
imes ... imes JX_m$ 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 | Services: | Forum | Review | PDF | Favorites |
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