Antonio Lei

activity

20232026

most citedOn towers of Isogeny graphs with full level structure

2 citations · 3 across the 12 of their papers we have counts for

collaborators

Showing 2025Show all

5 papers · 1 filter

math.NT2025

On the maximality of the $λ$ -invariants of Mazur--Tate elements

Antonio Lei, Robert Pollack, Naman Pratap

Let $E$ be an elliptic curve with good ordinary reduction at an odd prime $p$ . Assuming that Greenberg's $μ = 0$ conjecture holds, we show that the $λ$ -invariants of the Mazur--Tate…

math.NT2025

On the growth of Tate-Shafarevich groups of $p$ -supersingular abelian varieties of $GL_{2}$ -type over $Z_{p}$ -extensions of number fields

Erman Isik, Antonio Lei

We study the boundedness of the Mordell-Weil rank and the growth of the $v$ -primary part of the Tate-Shafarevich group of $p$ -supersingular abelian varieties of $GL_{2}$ -type w…

math.NT2025

Mazur-Tate elements of non-ordinary modular forms with Serre weight larger than two

Rylan Gajek-Leonard, Antonio Lei

Fix an odd prime $p$ and let $f$ be a non-ordinary eigen-cuspform of weight $k$ and level coprime to $p$ . Assuming $p > k - 1$ , we compute asymptotic formulas for the Iwasawa invariant…

math.NT2025

Congruences of $p$ -adic $L$ -functions of modular forms at non-ordinary primes

Raiza Corpuz, Antonio Lei

We present an analogue of Greenberg-Vatsal's and Emerton-Pollack-Weston's results on congruences of $p$ -adic $L$ -functions for $p$ -non-ordinary cuspidal eigenforms $f$ and $g$ of e…

math.NT2025

Mazur's Growth Number Conjecture in the Rank One Case

Debanjana Kundu, Antonio Lei

Let $p \geq 5$ be a prime number. Let $E / Q$ be an elliptic curve with good ordinary reduction at $p$ . Let $K$ be an imaginary quadratic field where $p$ splits, and…

On the maximality of the λ-invariants of Mazur--Tate elements

On the growth of Tate-Shafarevich groups of p-supersingular abelian varieties of GL2​-type over Zp​-extensions of number fields

Mazur-Tate elements of non-ordinary modular forms with Serre weight larger than two

Congruences of p-adic L-functions of modular forms at non-ordinary primes

Mazur's Growth Number Conjecture in the Rank One Case

On the maximality of the $λ$ -invariants of Mazur--Tate elements

On the growth of Tate-Shafarevich groups of $p$ -supersingular abelian varieties of $GL_{2}$ -type over $Z_{p}$ -extensions of number fields

Congruences of $p$ -adic $L$ -functions of modular forms at non-ordinary primes