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math.NT1999
On the abc conjecture and diophantine approximation by rational points
Paul Vojta
We show that an earlier conjecture of the author, on diophantine approximation of rational points on varieties, implies the ``abc conjecture'' of Masser and Oesterl'e. In fact, a w…
math.NT1998
Integral points on subvarieties of semiabelian varieties, II
Paul Vojta
This paper proves a finiteness result for families of integral points on a semiabelian variety minus a divisor, generalizing the corresponding result of Faltings for abelian variet…
math.NT1998
A more general abc conjecture
Paul Vojta
This note formulates a conjecture generalizing both the abc conjecture of Masser-Oesterlé and the author's diophantine conjecture for algebraic points of bounded degree. It also sh…