Notes on the arithmetic of Fano threefolds
Yu I. Manin (1993)
Compositio Mathematica
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Yu I. Manin (1993)
Compositio Mathematica
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Enrico Bombieri (1990)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Bianca Viray (2010)
Journal de Théorie des Nombres de Bordeaux
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We construct a concrete example of a -parameter family of smooth projective geometrically integral varieties over an open subscheme of such that there is exactly one rational fiber with no rational points. This makes explicit a construction of Poonen.
Serge Lang (1960)
Publications Mathématiques de l'IHÉS
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Yann Bugeaud (2011)
Journal de Théorie des Nombres de Bordeaux
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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.