2014/10/21 by Elham Izadi, E. Izadi, J. Wang +2
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #14C30 #14K99 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #FOS: Mathematics #math.AG #msc:14C30 #msc:14K99
paper · pdf · doi:10.48550/arxiv.1410.5868
To appear in the proceedings of the conference on Hodge Theory and Classical Algebraic Geometry at the Ohio State University, May 2013
arxiv created 2014/10/21 · openalex publication_date 2014/10/21 · arxiv updated 2014/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The primitive cohomology of the theta divisor of a principally polarized abelian variety of dimension g is a Hodge structure of level g-3. The Hodge conjecture predicts that it is contained in the image, under the Abel-Jacobi map, of the cohomology of a family of curves in the theta divisor. We survey some of the results known about this primitive cohomology, prove a few general facts and mention some interesting open problems.