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math.NT2023
Iwasawa theory and mock plectic points
Michele Fornea, Lennart Gehrmann
We use Iwasawa theory, at a prime inert in a quadratic imaginary field , 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 -arithmetic subgroup of like the Ihara group 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…