6 citations · 18 across the 21 of their papers we have counts for
5 papers · 1 filter
Divisibility of Selmer groups and class groups
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 construct…
Primary rank of the class group of real cyclotomic fields
Rishabh Agnihotri, Kalyan Chakraborty, Mohit Mishra
Let and be an odd prime such that for some prime factor of . We get a bound on the -rank of the cl…
Selmer group associated to the Chow group of certain codimension two cycles
Kalyan Banerjee, Kalyan Chakraborty
Let be a surface with geometric genus and irregularity zero which is defined over a number field . Let denote a smooth spread of over the spectrum of a Zar…
On a question of Colliot-Thélène on Chow group mod
Kalyan Banerjee, Kalyan Chakraborty
In this note we define the notion of Tate-Shafarevich group and Selmer group of the Chow group of an abelian variety defined over a number field. In this context we give positive a…
On the structure of order 4 class groups of
Kalyan Chakraborty, Azizul Hoque, Mohit Mishra
Groups of order are isomorphic to either or . We give certain sufficient conditions permitting to…