2 papers
math.AG2024
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 considered by Lafon, we give the first examples of smooth projective weakly special threefolds which fibre over the projectiv…
math.AG2024
Weakly Special Manifolds with no rational curves
Kyle Broder, Frédéric Campana
Assuming the abundance conjecture and the existence of a Zariski dense set of rational curves on terminal Calabi--Yau varieties, we show that a complex projective weakly special ma…