Auteur: Umberto Zannier

This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang’s and Manin-Mumford’s, concerning torsion points in subvarieties of tori or abelian var …

Since 2001 the Scuola Normale Superiore di Pisa has organized the ‘Colloquio De Giorgi’, a series of colloquium talks named after Ennio De Giorgi. The Colloquio is addressed to a general mathematical …

Since 2001 the Scuola Normale Superiore di Pisa has organized the ‘Colloquio De Giorgi’, a series of colloquium talks named after Ennio De Giorgi. The Colloquio is addressed to a general mathematical …

​Since 2001 the Scuola Normale Superiore di Pisa has organized the ‘Colloquio De Giorgi’, a series of colloquium talks named after Ennio De Giorgi. The Colloquio is addressed to a general mathematica …

These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to m …

This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper ‘Über einige Anwendungen diophantischer Approximationen’ by C.L. Siegel. The paper contains proofs of most import …

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Diophantine Approximation is a branch of Number Theory having its origins intheproblemofproducing"best"rationalapproximationstogivenrealn- bers. Since the early work of Lagrange on Pell’s e …

The book deals with the (elementary and introductory) theory of valuation rings. As explained in the introduction, this represents a useful and important viewpoint in algebraic geometry, especially c …