An elementary proof of the irreducibility of the rank \(g\) Picard bundle

DOI10.1216/rmjm/1181072006zbMath0899.14022OpenAlexW2019624877MaRDI QIDQ1360217

David S. Yuen

Publication date: 8 November 1998

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL26-4/CONT26-4/CONT26-4.html

zbMATH Keywords

vector bundlesalgebraic curvesPicard bundlealgebraic cohomologygeneral Jacobianprincipally polarized complex abelian variety

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Picard groups (14C22) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Cites Work

• Theta functions on Riemann surfaces
• Inversion of Abelian integrals
• Finite dimensional Teichmüller spaces and generalizations
• Symmetric Products and Jacobians
• Cycles on Abelian Varieties
• Rank g Picard Bundles are Stable
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