The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Problems and results on the distribution of algebraic points on algebraic varieties”

A family of varieties with exactly one pointless rational fiber

Bianca Viray (2010)

Journal de Théorie des Nombres de Bordeaux

Similarity:

We construct a concrete example of a 1 -parameter family of smooth projective geometrically integral varieties over an open subscheme of 1 such that there is exactly one rational fiber with no rational points. This makes explicit a construction of Poonen.

Quantitative versions of the Subspace Theorem and applications

Yann Bugeaud (2011)

Journal de Théorie des Nombres de Bordeaux

Similarity:

During the last decade, several quite unexpected applications of the Schmidt Subspace Theorem were found. We survey some of these, with a special emphasize on the consequences of quantitative statements of this theorem, in particular regarding transcendence questions.