Vojta's conjecture

Vojta's conjecture is a conjecture in the field of arithmetic geometry, named after the mathematician Paul Vojta. It deals with the distribution of rational points on algebraic varieties and is closely related to Diophantine geometry, which studies solutions to polynomial equations. In simple terms, Vojta's conjecture can be thought of as a generalization of the Zsigmondy theorem and the Bombieri-Lang conjecture.