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Algebraic description of Jacobians isogeneous to certain Prym varieties with polarization (1,2)
, 2014 For a class of non-hyperelliptic genus 3 curves C which are 2-fold coverings of elliptic curves E, we give an explicit algebraic description of all birationally non-equivalent genus 2 curves whose Jacobians are degree 2 isogeneous to the Prym varieties associated to such coverings.
Fedorov, Yuri, Enolski, Viktor Z.
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Tautological rings on Jacobian varieties of curves with automorphisms and generalized Prym varieties
, 2017 On étudie dans cette thèse les cycles algébriques sur les variétés Jacobiennes de courbes complexes projectives lisses qui admettent des automorphismes non triviaux. Il s'agit plus précisément d'étudier de nouveaux anneaux tautologiques associés à des groupes d’automorphismes de la courbe.
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Universal properties of Prym varieties with an application to algebraic curves of genus five
, 1976 Leon Masiewicki
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Local injectivity of Prym maps for some families of compact Riemann surfaces
, 1993 Katsuaki Yoshida
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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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THE INTERMEDIATE JACOBIAN OF A THREE-DIMENSIONAL CONIC BUNDLE IS A PRYM VARIETY
Mathematics of the USSR-Sbornik, 1985The intermediate Jacobians play an essential role in birational geometry of algebraic 3-folds. A conic bundle \(p : X \to S\) is the first case of 3-folds with well-known geometry of its intermediate Jacobian [\textit{A. N. Tyurin}, Usp. Mat. Nauk 27, No.5 (167), 3-50 (1972; Zbl 0256.14019)].
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Variétés de Prym associées aux revêtements n-cycliques d'une courbe hyperelliptique
, 2003Let H a hyperelliptic curve and let f: C --> H be a cyclic etale covering of degree n, associated to a line bundle in Pic^0 (H) of order n . We prove that the Prym variety P=Prym(C / H) is isomorphic, as abelian varieties, to a product of jacobians when ...
Angela Ortega Ortega
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