Corvaja, Pietro; Matematični kolokvij december 2006

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Integral points on algebraic varieties

Pietro Corvaja

Univerza v Vidmu (Udine), Italija

14. december 2006

Several problems concerning diophantine equations can be phrased in geometric terms: if an algebraic variety satisfies some geometric conditions, its rational or integral points are (or are conjectured to be) finite in number. Sometimes one can also prove the degeneracy of holomorphic curves on the same kind of varieties. I will present some classical results of both arithmetic and complex-analytic flavour. I will also report on recent results concerning integral points on algebraic surfaces obtained in collaboration with U. Zannier.

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