Divisibility of Selmer groups and class groups
Algebraic Geometry
2019-12-06 v1 K-Theory and Homology
Number Theory
Abstract
In this paper, we study two topics. One is the divisibility problem of class groups of quadratic number fields and its connections to algebraic geometry. The other is the construction of Selmer group and Tate-Shafarevich group for an abelian variety defined over a number field.
Cite
@article{arxiv.1912.02420,
title = {Divisibility of Selmer groups and class groups},
author = {Kalyan Banerjee and Kalyan Chakraborty and Azizul Hoque},
journal= {arXiv preprint arXiv:1912.02420},
year = {2019}
}
Comments
21 pages, to appear in Hardy-Ramanujan Journal, comments are welcome, section 2 and 3 in this paper contain a survey of previously submitted preprints arXiv:1906.08233 and arXiv:1903.04210