On Unirationality of Quartics over non Algebraically Closed Fields

Details On Unirationality of Quartics over non Algebraically Closed Fields On Unirationality of Quartics over non Algebraically Closed Fields

2007-08-18

arxiv.org/abs/0708.2495v1

Mathematics

Algebraic Geometry

Scientific paper

We give examples of smooth $\k$-unirational line-free quartic hypersurfaces
over a non algebraically closed field $\k$. Unlike other methods of proving
unirationality, our method does not rely on existence of linear spaces on
quartics.

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