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Rational points over $C_1$-fields of characteristic 0 Pieropan, Marta


In the 1950s Lang studied the properties of $C_1$ fields, that is, fields over which every hypersurface of degree at most $n$ in a projective space of dimension $n$ has a rational point. Later he conjectured that every smooth proper rationally connected variety over a $C_1$ field has a rational point. I will explain how to find rational points on rationally connected threefolds over $C_1$ fields of characteristic 0.

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