M ay 2 00 8 PRYM - TYURIN VARIETIES USING SELF - PRODUCTS OF GROUPS
نویسنده
چکیده
Given 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 Dp for any odd prime p. This generalizes the construction of [4] for p = 3. Finally, we compute the isogeny decomposition of the Jacobian of the curve underlying the above mentioned example.
منابع مشابه
0 M ay 2 00 8 PRODUCTS OF JACOBIANS AS PRYM - TYURIN VARIETIES
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 + max i=1 gi. We show that the product JX1 × · · · × JXm of the corresponding Jacobian varieties admits the structure of a Prym-Tyurin variety of exponent n. This exponent is considerably smaller than the exponent of the struc...
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