1 citations · 1 across the 3 of their papers we have counts for
4 papers
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…
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…
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…
Growth of the analytic rank of modular elliptic curves over quintic extensions
Michele Fornea
Given a totally real field and a modular elliptic curve, we denote by the number of quintic extensions of such that the norm of the relative di…