The Weakly Special Conjecture contradicts orbifold Mordell, and hence the abc conjecture

Finn Bartsch, Frédéric Campana, Ariyan Javanpeykar +1

Starting from an Enriques surface over $\mathbb{Q}(t)$ considered by Lafon, we give the first examples of smooth projective weakly special threefolds which fibre over the projectiv…