Mathematics

In 2008 Corvaja and Zannier proved algebraic hyperbolicity for
the complement of a conic and two line in the projective plane and then
generalized this in a very recent paper. This solved a split case of
Vojta-Lang conjecture. We will show how to prove the non-split case of
the same conjecture and address some ways to extend these results to the
two component case, i.e. for the complement of two conics in the
projective plane, using some logarithmic Gromov Witten invariants.