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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…
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…