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arxiv: 1912.02420 · v1 · pith:YE64UVUR · submitted 2019-12-05 · math.AG · math.KT· math.NT

Divisibility of Selmer groups and class groups

Kalyan Banerjee , Kalyan Chakraborty , Azizul Hoque This is my paper

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classification math.AG math.KTmath.NT
keywords groupsclassdivisibilitygroupnumberselmerabelianalgebraic
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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.

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