A Characterization of Jacobians by the Existence of Picard Bundles

2008/02/25 by Ana Cristina López Martín, Martín, Ana Cristina López, Ernesto C. Mistretta +4 · 1 citation
Mathematics · Physics and Astronomy · #14H40 #14H42 #14K30 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG #msc:14H40 #msc:14H42 #msc:14K30

paper · pdf · doi:10.48550/arxiv.0802.3691

Latex, 11 pages

arxiv created 2008/02/25 · openalex publication_date 2008/02/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Based on the Matsusaka-Ran criterion we give a criterion to characterize when a principal polarized abelian variety is a Jacobian by the existence of Picard bundles.

Citations

• Jacobians and symmetric products

Cited by

• NC-smooth thickenings and Jacobians

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