Degrees of curves in abelian varieties

DOI10.24033/bsmf.2236zbMath0856.14015arXivalg-geom/9210005OpenAlexW1643614173MaRDI QIDQ4325588

Olivier Debarre

Publication date: 17 February 1997

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9210005

zbMATH Keywords

endomorphismsJacobiangeometric genusirreducible curvepolarized abelian variety

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Algebraic theory of abelian varieties (14K05)

Related Items (4)

A Chabauty-Coleman bound for surfaces ⋮ Deforming curves in Jacobians to non-Jacobians. I: Curves in \(C^{(2)}\) ⋮ Abel-Prym maps for isotypical components of Jacobians ⋮ Cohomological rank functions and syzygies of abelian varieties

Cites Work

• Totally positive algebraic integers of small trace
• On abelian varieties the theta divisor of which is singular in codimension 3
• On subvarieties of Abelian varieties
• On abelian subvarieties generated by symmetric correspondences
• On a characterization of a Jacobian variety
• On Singular Curves in the Case of Positive Characteristic
• A New Proof of the Ran-Matsusaka Criterion for Jacobians
• Explicit Hyperelliptic Curves With Real Multiplication and Permutation Polynomials
• Varieties Defined by Quadratic Equations
• Cycles and Endomorphisms of Abelian Varieties
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