  This article generalizes the geometric quadratic Chabauty method, initiated
over $\mathbb{Q}$ by Edixhoven and Lido, to curves defined over arbitrary
number fields. The main result is a conditional bound on the number of rational
points on curves that satisfy an additional Chabauty type condition on the
Mordell-Weil rank of the Jacobian. The method gives a more direct approach to
the generalization by Dogra of the quadratic Chabauty method to arbitrary
number fields.
