منابع مشابه
Residues and Zero-Cycles on Algebraic Varieties
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متن کاملDimensions of Prym Varieties
Given a tame Galois branched cover of curves π : X → Y with any finite Galois group G whose representations are rational, we compute the dimension of the (generalized) Prym variety Prymρ(X) corresponding to any irreducible representation ρ of G. This formula can be applied to the study of algebraic integrable systems using Lax pairs, in particular systems associated with Seiberg-Witten theory. ...
متن کاملPrym Varieties I
is a double covering, where C and C are nonsingular complete curves with Jacobians J and 3. The involution 1: C C interchanging sheets extends to t: I J, and up to some points of order two, 3 splits into an even part J and an odd part P, the Prym variety. The Prym P has a natural polarization on it, but only in two cases where 21 has zero or two branch points do we get a unique principal polari...
متن کاملPrym Varieties of Cyclic Coverings
The Prym map of type (g, n, r) associates to every cyclic covering of degree n of a curve of genus g, ramified at a reduced divisor of degree r, the corresponding Prym variety. We show that the corresponding map of moduli spaces is generically finite in most cases. From this we deduce the dimension of the image of the Prym map.
متن کاملAlgebraic cycles on abelian varieties and their decomposition
Articolo digitalizzato nel quadro del programma bdim (Biblioteca Digitale Italiana di Matematica) SIMAI & UMI
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2011
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-011-0699-3