Kalyan Banerjee ; Kalyan Chakraborty ; Azizul Hoque - Divisibility of Selmer groups and class groups

hrj:6460 - Hardy-Ramanujan Journal, May 20, 2020, Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019 - https://doi.org/10.46298/hrj.2020.6460
Divisibility of Selmer groups and class groups

Authors: Kalyan Banerjee ; Kalyan Chakraborty ; Azizul Hoque

    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.

    https://doi.org/10.46298/hrj.2020.6460
    Source : oai:HAL:hal-02554271v1
    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: Abelian variety 2010,Hyperelliptic surface,Imaginary quadratic field,Selmer group,Tate-Shafarevich group,Chow group,Class group,Picard group,[MATH]Mathematics [math],[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]

    Export

    BibTeX TEI DC OpenAIRE Crossref DOAJ zbJATS JSON

    Share

    Consultation statistics

    This page has been seen 352 times.
    This article's PDF has been downloaded 272 times.