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Rational points and zero-cycles on rationally connected varieties over number fields

Published 28 Apr 2016 in math.NT and math.AG | (1604.08543v3)

Abstract: We report on progress in the qualitative study of rational points on rationally connected varieties over number fields, also examining integral points, zero-cycles, and non-rationally connected varieties. One of the main objectives is to highlight and explain the many recent interactions with analytic number theory.

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