2020/05/11 by Abolfazl Mohajer, Mohajer, Abolfazl
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.2005.04980
openalex publication_date 2020/05/11 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
In this paper, using a generalization of the notion of Prym variety for\ncovers of quasi-projective varieties, we prove a structure theorem for the\nMordell-Weil group of the abelian varieties over function fields that are\ntwists of Abelian varieties by Galois covers of irreducible quasi-projective\nvarieties. In particular, the resutls we obtain contribute in the construction\nof Jacobians (of covers of the projective line) of high rank.\n