08.01.2015 Views

Cubic Surfaces Jaap Top - Wiskunde

Cubic Surfaces Jaap Top - Wiskunde

Cubic Surfaces Jaap Top - Wiskunde

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Variant of Manin’s unirationality result, with possibly a lower<br />

degree:<br />

Thm. (Pannekoek, master’s thesis, 2009) Let S be a smooth<br />

cubic surface containing a rational point and a Galois-stable orbit<br />

of three pairwise disjoint lines.<br />

Then the following construction shows that S is unirational over<br />

the base field.<br />

39

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!