3 citations · 3 across the 6 of their papers we have counts for
4 papers · 1 filter
A positive density of elliptic curves are diophantine stable in certain Galois extensions
Anwesh Ray, Pratiksha Shingavekar
Let and consider a cyclic -extension . We show that there exists an effective positive density of elliptic curves defined over $ \mathbb{Q}…
On the corank of the fine Selmer group of an elliptic curve over a -extension
Anwesh Ray
Let be an odd prime and be a -extension of a number field . Given an elliptic curve over , we study the structure of the fine Selmer group ov…
On large Iwasawa -invariants of imaginary quadratic function fields
Anwesh Ray
Let be a prime number and be a power of . Given an odd prime number and an imaginary quadratic extension of the rational function field ,…
Rank Jumps and Growth of Shafarevich--Tate Groups for Elliptic Curves in -Extensions
Lea Beneish, Debanjana Kundu, Anwesh Ray
In this paper, we use techniques from Iwasawa theory to study questions about rank jump of elliptic curves in cyclic extensions of prime degree. We also study growth of the -pri…