منابع مشابه
m at h . A G ] 1 8 A ug 2 00 8 PRYM - TYURIN VARIETIES VIA HECKE ALGEBRAS
Let G denote a finite group and π : Z → Y a Galois covering of smooth projective curves with Galois group G. For every subgroup H of G there is a canonical action of the corresponding Hecke algebra Q[H\G/H ] on the Jacobian of the curve X = Z/H . To each rational irreducible representation W of G we associate an idempotent in the Hecke algebra, which induces a correspondence of the curve X and ...
متن کاملPrym–tyurin Varieties Coming from Correspondences with Fixed Points
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.
متن کامل0 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...
متن کاملM ay 2 00 8 PRYM - TYURIN VARIETIES USING SELF - PRODUCTS OF GROUPS
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...
متن کامل2 00 4 A family of Prym - Tyurin varieties of exponent 3
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: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2009
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle.2009.073