ICTP/SISSA Joint Colloquium in Mathematics - Integral points on algebraic varieties: a survey of old and more recent results.
ICTP (Main Building Seminar Room)
(Scuola Normale Superiore di Pisa, Italy)
We shall survey the diophantine problem of integral points on algebraic varieties. After recalling a number of classical results and methods, we shall present some new ones, obtained in joint work with P. Corvaja and further developed by A. Levin. Some of these results concern especially nonsingular surfaces, while others arise from diophantine equations with linear recurrences. We shall also outline the main principles of some of the proofs.
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