论文信息 - Rational lines on cubic hypersurfaces II

Rational lines on cubic hypersurfaces II

We show that any rational cubic hypersurface of dimension at least 33 vanishes on a projective rational line, reducing the previous lower bound of Wooley by two. The main ingredient is a result on linear spaces on quadratic forms over suitable imaginary quadratic field extensions of $\mathbb Q$.

R. Dietmann | J. Brandes

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