The generic Torelli theorem for the Prym map

DOI10.1007/BF01398932zbMath0506.14042MaRDI QIDQ1836712

Robert M. Friedman, Roy Campbell Smith

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142922

zbMATH Keywords

JacobiansPrym varietyTorelli theoremprincipally polarized abelian varietyPrym map

Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) Jacobians, Prym varieties (14H40)

Related Items

Degenerations of Prym varieties and intersections of three quadrics, Shimura curves in the Prym loci of ramified double covers, Counter-examples of high Clifford index to Prym-Torelli, Unnamed Item, Singularities of the Prym theta divisor, On the dimension of totally geodesic submanifolds in the Prym loci, Prym map and second Gaussian map for Prym-canonical line bundles, Higher dimensional Shimura varieties in the Prym loci of ramified double covers, Algebraic cycles on Prym varieties, On abelian varieties the theta divisor of which is singular in codimension 3, Unnamed Item, Le théorème de Torelli pour les intersections de trois quadriques. (Torelli theorem for intersections of three quadrics), Prym varieties of cyclic coverings, Shimura curves in the Prym locus, A bound on the dimension of a totally geodesic submanifold in the Prym locus, A Generic Torelli-Type Theorem for Singular Algebraic Curves with an Involution, Sur les variétés de Prym des courbes tétragonales, Companion forms and Kodaira-Spencer theory, Unnamed Item, Aspetti geometrici della teoria delle varietà di Prym, Second order theta divisors on Pryms, Klein coverings of genus 2 curves, Variétés de Prym et ensembles d'Andreotti et Mayer. (Prym varieties and Andreotti-Mayer sets), Unnamed Item, Generic Torelli theorem for Prym varieties of ramified coverings, The fibre of the Prym map in genus three

Cites Work

• Unnamed Item
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• Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen
• The structure of the Prym map
• The irreducibility of the space of curves of a given genus
• The tetragonal construction
• Universal Properties of Prym Varieties With an Application to Algebraic Curves of Genus Five
• ON INTERSECTIONS OF QUADRICS
• Variétés de Prym et jacobiennes intermédiaires
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)