Michele Fornea

activity

20172026

most citedTwisted triple product p-adic L-functions and Hirzebruch-Zagier cycles

4 citations · 5 across the 10 of their papers we have counts for

collaborators

11 papers

math.NT2026

Plectic Heegner classes

Michele Fornea

We introduce a new collection of partially global Galois cohomology classes subsuming both plectic Heegner points and mock plectic invariants. The former are recovered as localizat…

math.NT2024

Non-Archimedean plectic Jacobians

Michele Fornea, Lennart Gehrmann

Plectic Stark-Heegner points were recently introduced to explore the arithmetic of higher rank elliptic curves: the concept was inspired by Nekovář and Scholl's plectic philosophy,…

math.NT2023

Iwasawa theory and mock plectic points

Michele Fornea, Lennart Gehrmann

We use Iwasawa theory, at a prime $p$ inert in a quadratic imaginary field $K$ , to study the arithmetic properties of mock plectic invariants for elliptic curves of rank two. More…

math.NT2023

Mock plectic points

Henri Darmon, Michele Fornea

A $p$ -arithmetic subgroup of $SL_{2} (Q)$ like the Ihara group $Γ := SL_{2} (Z [1/ p])$ acts by Möbius transformations on the Poincaré upper half plane $…

math.NT2023

Plectic Jacobians

Michele Fornea

Looking for a geometric framework to study plectic Heegner points, we define a collection of abelian varieties - called plectic Jacobians - using the middle degree cohomology of qu…

math.NT2022

On the algebraicity of polyquadratic plectic points

Michele Fornea, Lennart Gehrmann

We establish direct evidence of the arithmetic significance of plectic Stark-Heegner points for elliptic curves of arbitrarily large rank. The main contribution is a proof of the a…

math.NT2021★ 1 cited

Plectic Stark-Heegner points

Michele Fornea, Lennart Gehrmann

We propose a conjectural construction of global points on modular elliptic curves over arbitrary number fields, generalizing both the p-adic construction of Heegner points via Cere…

math.NT2021

Plectic p-adic invariants

Michele Fornea, Xavier Guitart, Marc Masdeu

For modular elliptic curves over number fields of narrow class number one, and with multiplicative reduction at a collection of p-adic primes, we define new p-adic invariants. Insp…

math.NT2020

Hirzebruch-Zagier classes and rational elliptic curves over quintic fields

Michele Fornea, Zhaorong Jin

Conditionally on a conjecture on the étale cohomology of Hilbert modular surfaces and some minor technical assumptions, we establish new instances of the equivariant BSD-conjecture…

math.NT2018

Growth of the analytic rank of modular elliptic curves over quintic extensions

Michele Fornea

Given $F$ a totally real field and $E_{/ F}$ a modular elliptic curve, we denote by $G_{5} (E_{/ F}; X)$ the number of quintic extensions $K$ of $F$ such that the norm of the relative di…

math.NT2017★ 4 cited

Twisted triple product p-adic L-functions and Hirzebruch-Zagier cycles

Michele Fornea

Let $L / F$ be a quadratic extension of totally real number fields. For any prime $p$ unramified in $L$ , we construct a $p$ -adic $L$ -function interpolating the central values of the…