Degenerations of Prym varieties and intersections of three quadrics

DOI10.1007/BF01390330zbMath0619.14027MaRDI QIDQ1089403

Roy Campbell Smith, Robert M. Friedman

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/143382

zbMATH Keywords

Prym varietiesintermediate Jacobiandiscriminant of nets of quadricsgeneric Torelli theorem for intersections of three quadrics

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Picard schemes, higher Jacobians (14K30) Jacobians, Prym varieties (14H40) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Pencils, nets, webs in algebraic geometry (14C21)

Related Items

On the genus of curves in the generic Prym variety, Kirchhoff’s theorem for Prym varieties, On abelian varieties the theta divisor of which is singular in codimension 3, Le théorème de Torelli pour les intersections de trois quadriques. (Torelli theorem for intersections of three quadrics), Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties (with an appendix by Mathieu Dutour Sikirić), The Gauss Map of a Genus Three Theta Divisor, Complex analysis -- algebraicity and transcendence. Abstracts from the workshop held August 16--22, 2020 (hybrid meeting), Variétés de Prym et ensembles d'Andreotti et Mayer. (Prym varieties and Andreotti-Mayer sets), The moduli space of cubic threefolds via degenerations of the intermediate Jacobian, Generic Torelli theorem for Prym varieties of ramified coverings

Cites Work

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• Toroidal compactification of Siegel spaces
• Stability of projective varieties
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• Compactification of arithmetic quotients of bounded symmetric domains
• The irreducibility of the space of curves of a given genus
• Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem
• On the canonical holomorphic map from the Moduli space of stable curves to the Igusa monoidal transform
• Theta-Characteristics on Algebraic Curves
• THE GLOBAL TORELLI THEOREM FOR PRYM VARIETIES AT A GENERIC POINT
• Equivariant G-Structure on Versal Deformations
• THE GEOMETRY OF THE POINCARÉ THETA-DIVISOR OF A PRYM VARIETY
• ON INTERSECTIONS OF QUADRICS
• Variétés de Prym et jacobiennes intermédiaires
• Reduction of the singularities of algebraic three dimensional varieties