Some applications of Diophantine approximation to Diophantine equations : with special emphasis on the Schmidt subspace theorem

Includes index

Includes bibliography (p. 63-67) and references

1 Diophantine approximation and Diophantine equations
2 Schmidt's subspace theorem and s-unit equations
3 Integral points on curves and other varieties
4 Diophantine equations with linear recurrences

The present lecture notes originate from a short course (14 hours) given at the University of Pisa during October 2002; it was addressed to graduate students, not necessarily with specific background. ... Roughly speaking, the contents concern certiain applications of Diophantine approximation to Diophantine equations. The whole field is however too vaste for a (short) course, even for a general survey. Therefore, motivated also by some recent work with P. Corvaja, we have concentrated on a few topics, involving the celebrated subspace theorem by W.M. Schmidt.