Products of Jacobians as Prym-Tyurin varieties
نویسندگان
چکیده
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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Our main theorem is an improvement of the Criterion of Kanev about Prym–Tyurin varieties induced by correspondences, which includes correspondences with fixed points. We give some examples of Prym–Tyurin varieties using this criterion.
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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...
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Introduction 1 1. Kanev’s construction and Prym-Tyurin varieties of E6-type 7 2. The E6 lattice 11 3. Degenerations of Jacobians and Prym varieties 13 4. Degenerations of Prym-Tyurin-Kanev varieties 15 5. The global geometry of the Hurwitz space of E6-covers 20 6. The Prym-Tyurin map along boundary components of Hur 30 7. Ordinary Prym varieties regarded as Prym-Tyurin-Kanev varieties 39 8. The...
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We investigate a family of correspondences associated tó etale coverings of degree 3 of hyperelliptic curves. They lead to Prym-Tyurin varieties of exponent 3. We identify these varieties and derive some consequences.
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2008
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-008-9323-4