Curves of genus \(g\) lying on a \(g\)-dimensional Jacobian variety

DOI10.1007/BF01393898zbMath0638.14025OpenAlexW2327927342MaRDI QIDQ1099228

Fabio Bardelli, Gian Pietro Pirola

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/143653

zbMATH Keywords

geometric genusisogenygeneral Jacobian variety of dimension \(g\geq 4\)generalized Jacobian of an irreducible stable curve with two nodes

Mathematics Subject Classification ID

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

Related Items (9)

Schiffer variations and the generic Torelli theorem for hypersurfaces ⋮ Non representability of twice the minimal class in a generic Jacobian ⋮ Hyperelliptic Jacobians and isogenies ⋮ Rational correspondences between moduli spaces of curves defined by Hurwitz spaces ⋮ Divisors of $\mathcal{A}^{(1,1,2,2)}_4$ ⋮ On isogenies of Prym varieties ⋮ Generic Torelli for \(W_ d^ r\) ⋮ On abelian subvarieties generated by symmetric correspondences ⋮ Generic Torelli theorem for Prym varieties of ramified coverings

Cites Work

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• Base number theorem for abelian varieties
• Moduli theory and classification theory of algebraic varieties
• The irreducibility of the space of curves of a given genus
• Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems
• On a Theorem of Torelli

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