4 papers · 1 filter
La matrice de logarithme en termes de chiffres -adiques (The logarithm matrix in terms of -adic digits)
Florian Sprung
Nous donnons une nouvelle description de la matrice de logarithme d'une forme modulaire en termes de distributions, généralisant le travail de Dion et Lei pour le cas . Ce q…
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…
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…
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…