Abstract:
We shall review a project in collaboration with Peter Stevenhagen and Nathan Jones. Given and elliptic curve over a number field and a rational point of infinite order, it can happen, for some non obvious reasons, that the reduction of such a point modulo prime ideals is never a generator for the reduced group. We shall review several cases and attempt a classification of such phenomenon in the case of curves defined over the rationals.
2023-06-09 10:30 ~ 2023-06-09 11:30
Prof. Francesco Pappalardi (Università Roma Tre)
Room 723, General Building III