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Prym varieties of bi-elliptic curves
Preprint enviat per a la seva publicació en una revista científica: Journal für die reine und angewandte Mathematik. 1992, Vol. 424, pp.
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Buser-Sarnak invariants of Prym varieties
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Prym varieties of pairs of coverings
advg, 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, 2022Herbert Lange, Rubí E. Rodríguez
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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 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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