Antonio Lei

activity

20092026

most citedEuler systems for Rankin--Selberg convolutions of modular forms

88 citations · 416 across the 62 of their papers we have counts for

collaborators

Showing 2023Show all

6 papers · 1 filter

math.NT2023★ 4 cited

Algebraic structure and characteristic ideals of fine Mordell--Weil groups and plus/minus Mordell--Weil groups

Antonio Lei

Given an elliptic curve defined over a number field $F$ , we study the algebraic structure and prove a control theorem for Wuthrich's fine Mordell--Weil groups over a $Z_{p}$ …

math.NT2023★ 2 cited

A remark on the characteristic elements of anticyclotomic Selmer groups of elliptic curves with complex multiplication at supersingular primes

Antonio Lei

Let $p \geq 5$ be a prime number. Let $E / Q$ be an elliptic curve with complex multiplication by an imaginary quadratic field $K$ such that $p$ is inert in $K$ and that $E$ ha…

math.NT2023

On the Zeta functions of supersingular isogeny graphs and modular curves

Antonio Lei, Katharina Müller

Let $p$ and $q$ be distinct prime numbers, with $q \equiv 1 (mod 12)$ . Let $N$ be a positive integer that is coprime to $pq$ . We prove a formula relating the Hasse--Weil zeta functi…

math.NT2023

On ordinary isogeny graphs with level structure

Antonio Lei, Katharina Müller

Let $l$ and $p$ be two distinct prime numbers. We study $l$ -isogeny graphs of ordinary elliptic curves defined over a finite field of characteristic $p$ , together with a level stru…

math.NT2023

Growth of $p$ -parts of ideal class groups and fine Selmer groups in $Z_{q}$ -extensions with $p \neq = q$

Debanjana Kundu, Antonio Lei

Fix two distinct odd primes $p$ and $q$ . We study " $p \neq = q$ " Iwasawa theory in two different settings. Let $K$ be an imaginary quadratic field of class number 1 such that both $p$ …

math.NT2023

On the Iwasawa invariants of BDP Selmer groups and BDP P-adic L-fucntions

Antonio Lei, Katharina Müller, Jiacheng Xia

Let $p$ be an odd prime. Let $f_{1}$ and $f_{2}$ be weight-two Hecke eigen-cuspforms with isomorphic residual Galois representations at $p$ . Greenberg--Vatsal and Emerton--Pollack--Wes…

Algebraic structure and characteristic ideals of fine Mordell--Weil groups and plus/minus Mordell--Weil groups

A remark on the characteristic elements of anticyclotomic Selmer groups of elliptic curves with complex multiplication at supersingular primes

On the Zeta functions of supersingular isogeny graphs and modular curves

On ordinary isogeny graphs with level structure

Growth of p-parts of ideal class groups and fine Selmer groups in Zq​-extensions with p=q

On the Iwasawa invariants of BDP Selmer groups and BDP P-adic L-fucntions

Growth of $p$ -parts of ideal class groups and fine Selmer groups in $Z_{q}$ -extensions with $p \neq = q$