Results 71 to 80 of about 105 (95)
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Prym varieties of pairs of coverings
Advances in Geometry, 2004In a foregoing paper [J. Reine Angew. Math. 575, 135--155 (2004; Zbl 1072.14053)], the authors had studied a smooth projective curve \(X\) with an action of a finite group \(G\) and they had proved that the Jacobian \(J(X)\) is isogenous to a product of particular abelian subvarieties in the form \[ J(X)\sim B^{d_1}_1\times\cdots\times B^{d_r}_r ...
Lange, Herbert, Recillas, Sevin
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Decomposition of Jacobians by Prym Varieties
Lecture Notes in Mathematics, 2022Rubi E Rodríguez, Herbert Lange
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Higher dimensional Shimura varieties in the Prym loci of ramified double covers
Mathematische Nachrichten, 2023 Abstract In this paper, we construct Shimura subvarieties of dimension bigger than one of the moduli space Apδ${\mathsf {A}}^\delta _{p}$ of δ‐polarized abelian varieties of dimension p, which are generically contained in the Prym loci of (ramified) double covers.
Paola Frediani +2 more
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On the Hodge cycles of Prym varieties
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2009One considers here Galois coverings \(f:Y\to X\) of degree \(3\) of hyperelliptic curves over \(\mathbb C\). One shows that the hyperelliptic involution lifts to an involution \(\sigma _Y\) of \(Y\). Let \(Z:=Y/\sigma_Y\). One shows that \(\text{Prym}(f)\cong \text{Pic}^0(Z) \times \text{Pic}^0(Z)\).
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PRYM VARIETIES: THEORY AND APPLICATIONS
Mathematics of the USSR-Izvestiya, 1984After the seminal work of Farkas and Rauch, the modern theory of Prym varieties has been developed notably by Mumford and Beauville. The present paper is at once a very readable and instructive introduction to this theory, and an exposition of the author's main result: The generalized Prym variety introduced by \textit{A. Beauville} [Invent. Math.
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ON THE TORELLI AND SCHOTTKY PROBLEMS FOR PRYM VARIETIES
Russian Academy of Sciences. Izvestiya Mathematics, 1995Let \(R_g\) denote the moduli space of étale double coverings of smooth complex curves of genus \(g\), and let \(A_h\) be the moduli space of principally polarized abelian varieties of dimension \(h\). The Prym map \(P_g : R_{g + 1} \to A_g\) associates to every double cover the corresponding Prym variety.
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Prym Varieties and Teichmüller Curves
2014We recall McMullen’s construction of Teichmuller curves in M3 and M4 using Prym varieties. Also these Teichmuller curves yield Kobayashi curves on XD.
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