Antonio Lei

collaborators

9 papers

math.NT2026

A canonical construction of signed $p$ -adic $L$ -functions for non-ordinary modular forms of weight $\leq p + 1$

Rylan Gajek-Leonard, Antonio Lei

Fix an odd prime $p$ and let $f$ be a $p$ -non-ordinary cuspidal eigen-newform of weight $2 \leq k \leq p + 1$ . We construct a pair of bounded $p$ -adic $L$ -functions associated to $f$ b…

math.NT2026

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.NT2026

Anticyclotomic Iwasawa theory of abelian varieties of $GL_{2}$ -type at non-ordinary primes II

Ashay Burungale, KÃ¢zÄ±m BÃ¼yÃ¼kboduk, Antonio Lei

Let $E / Q$ an elliptic curve with good supersingular reduction at a prime $p \geq 5$ , and $K$ an imaginary quadratic field such that the root number of $E$ over $K$ equals $…

math.NT2025

On the maximality of the $I^»$ -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 $I^¼ = 0$ conjecture holds, we show that the $I^»$ -invariants of the Mazur--Tat…

math.NT2025

On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic $Z_{p}$ -towers

Antonio Lei, Luca Mastella, Luochen Zhao

Let $p$ be an odd prime number and let $K$ be an imaginary quadratic field in which $p$ is split. Let $f$ be a modular form with good reduction at $p$ . We study the variation of th…

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…

A canonical construction of signed p-adic L-functions for non-ordinary modular forms of weight ≤p+1

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

Anticyclotomic Iwasawa theory of abelian varieties of GL2​-type at non-ordinary primes II

On the maximality of the I^»-invariants of Mazur--Tate elements

On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic Zp​-towers

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

A canonical construction of signed $p$ -adic $L$ -functions for non-ordinary modular forms of weight $\leq p + 1$

Anticyclotomic Iwasawa theory of abelian varieties of $GL_{2}$ -type at non-ordinary primes II

On the maximality of the $I^»$ -invariants of Mazur--Tate elements

On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic $Z_{p}$ -towers

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