Deforming curves in Jacobians to non-Jacobians. I: Curves in \(C^{(2)}\)

DOI10.1007/s10711-005-9006-3zbMath1098.14033arXivmath/0103204OpenAlexW2028017754MaRDI QIDQ2490384

Elham Izadi

Publication date: 2 May 2006

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0103204

zbMATH Keywords

abelian varietydeformationsymmetric powers of a curve

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Subvarieties of abelian varieties (14K12) Algebraic cycles (14C25) Infinitesimal methods in algebraic geometry (14B10)

Related Items

Ampleness of intersections of translates of theta divisors in an abelian fourfold ⋮ Deforming curves in Jacobians to non-Jacobians. I: Curves in \(C^{(2)}\) ⋮ Deforming curves in Jacobians to non-Jacobians: II: Curves in \(C^{(e)}\), \(3 \leqslant e \leqslant g-3\)

Cites Work

• Quadrics of rank four in the ideal of a canonical curve
• Deforming curves in Jacobians to non-Jacobians. I: Curves in \(C^{(2)}\)
• Deforming curves in Jacobians to non-Jacobians: II: Curves in \(C^{(e)}\), \(3 \leqslant e \leqslant g-3\)
• On a characterization of a Jacobian variety
• Degrees of curves in abelian varieties
• Regularity on abelian varieties I
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