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Di Tullio, Daniele (2017) Finding integral points on algebraic varieties. [Magistrali biennali]

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Abstract

The Vojta’s conjecture establishes geometrical conditions on the degeneracy of the set of S-integral points for an algebraic variety. The goal of the thesis is to prove that for certain algebraic varieties for which such conditions are not verified the set of S-integral points is Zariski-dense. Some effective methods in this respect has been developed by Beukers in his paper “Ternary form Equations” , in which he proved the density of integral solutions of some homogeneous diophantine equations. Following such ideas, the work of the thesis consists on finding the density of S-integral points on some varieties for which it is not known at the moment, imposing the needed arithmetical and geometrical conditions

Item Type:Magistrali biennali
Additional Information:Per motivi di segretezza e/o di proprieta' dei risultati e/o informazioni sensibili
Subjects:Area 01 - Scienze matematiche e informatiche > MAT/03 Geometria
Codice ID:56638
Relatore:Chiarellotto, Bruno
Data della tesi:13 October 2017
Biblioteca:Polo di Scienze > Biblioteca di Matematica

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