Divisibility of Selmer groups and class groupsArticle
Authors: Kalyan Banerjee ; Kalyan Chakraborty 1; Azizul Hoque
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Kalyan Banerjee;Kalyan Chakraborty;Azizul Hoque
- 1 Harish-Chandra Research Institute
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.
Volume: Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019
Published on: May 20, 2020
Accepted on: May 19, 2020
Submitted on: May 7, 2020
Keywords: [MATH]Mathematics [math], [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], [en] Picard group, Class group, Hyperelliptic surface, Imaginary quadratic field, Selmer group, Tate-Shafarevich group, Chow group, Abelian variety 2010