From the 1 of 5 linked papers with an AI index.
8 papers · 1 filter
Euler systems and the symmetric square of a Hida family
Debanjana Kundu, Jishnu Ray, Stefano Vigni
The paper constructs a non‑trivial Euler system for the symmetric square of a p‑adic Hida family of modular forms, proves an algebraic functional equation for the associated dual S…
Explicit isomorphisms for a Herr-type complex over a metabelian extension
Anand Chitrao, Aditya Karnataki, Jishnu Ray
Let be a Banach algebra over whose residue fields are finite extensions of . Given an arithmetic family of Galois representations, i.e., a fini…
On signed Mordell-Weil groups for abelian varieties
Jishnu Ray
In this short note, we work in the general framework of supersingular abelian varieties defined over . Using Coleman maps constructed by Büyükboduk--Lei, we define so…
On anticyclotomic Selmer groups of elliptic curves
Matteo Longo, Jishnu Ray, Stefano Vigni
Let be a prime number and let be an imaginary quadratic field where is unramified. Under mild technical assumptions, in this paper we prove the non-existence of no…
On a parity result for the symmetric square of modular forms with congruent residual representations
Jishnu Ray
The parity of Selmer ranks for elliptic curves defined over the rational numbers with good ordinary reduction at an odd prime has been studied by Shekhar. The proo…
Characteristic ideal of the fine Selmer group and results on -invariance under isogeny in the function field case
Sohan Ghosh, Jishnu Ray
Consider a function field with characteristic . We investigate the -module structure of the Mordell-Weil group of an abelian variety over -extensions of…