3 papers
math.NT2018
Ranks of elliptic curves over Z_p^2-extensions
Antonio Lei, Florian Sprung
Let be an elliptic curve with good reduction at a fixed odd prime and an imaginary quadratic field where splits. We give a growth estimate for the Mordell-Weil rank…
math.NT2018
On the Iwasawa main conjectures for modular forms at non-ordinary primes
Francesc Castella, Mirela Çiperiani, Christopher Skinner +1
In this paper, we prove under mild hypotheses the Iwasawa main conjectures of Lei--Loeffler--Zerbes for modular forms of weight at non-ordinary primes. Our proof is based on th…
math.NT2011
The Shafarevich-Tate group in cyclotomic Z_p-extensions at supersingular primes
Florian Sprung
We study the asymptotic growth of the p-primary component of the Shafarevich-Tate group in the cyclotomic direction at any odd prime of good supersingular reduction, generalizing w…