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math.NT2016★ 6 cited
Root numbers and parity of local Iwasawa invariants
Suman Ahmed, Chandrakant Aribam, Sudhanshu Shekhar
Given two elliptic curves and defined over the field of rational numbers, , with good reduction at an odd prime and equivalent mod Galois representa…
math.NT2016
Visibility of Shafarevich-Tate group of abelian varieties over number field extensions
Sudhanshu Shekhar
Given an abelian variety J and an abelian subvariety A of J over a number field K, we study the visible elements of the Shafarevich-Tate group of A with respect to J over certain n…