Appears in collection : 2019 - T2 - WS1 - Rational Points on Fano and Similar Varieties

I will give a gentle introduction to the theory of Campana’s orbifold pairs, with an eye towards arithmetic aspects, in particular the study of points of bounded height on such pairs. In particular, I will highlight recent work of Browning-Yamagishi and Pieropan-Tanimoto-Varilly-Alvarado-Smeets on the topic, and I will discuss the relation with the behaviour of rational points in fibrations.