2012/10/22 by Shinichi Kobayashi, Takao Yamazaki, Kobayashi, Shinichi +1
Mathematics · Pharmacology, Toxicology and Pharmaceutics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Number Theory (math.NT) #math-ph #math.AG #math.MP #math.NT
paper · pdf · doi:10.48550/arxiv.1210.5838
32 pages
openalex publication_date 2012/10/22 · arxiv created 2014/03/09 · arxiv updated 2014/03/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Anderson introduced a p-adic version of soliton theory. He then applied it to the Jacobian variety of a cyclic quotient of a Fermat curve and showed that torsion points of certain prime order lay outside of the theta divisor. In this paper, we evolve his theory further. As an application, we get a stronger result on the intersection of the theta divisor and torsion points on the Jacobian variety for more general curves. New examples are discussed as well. A key new ingredient is a map connecting the p-adic loop group and the formal group.