Dino Festi, Ronald van Luijk
Published 2015-05-05Version 1
We prove that every del Pezzo surface of degree two over a finite field is unirational, building on the work of Manin and an extension by Salgado, Testa, and V\'arilly-Alvarado, who had proved this for all but three surfaces. Over general fields of characteristic not equal to two, we state sufficient conditions for a del Pezzo surface of degree two to be unirational.
Comments: This is a short version (5 pages) of arXiv:1408.0269; the longer version contains more details and more general results
Unirationality of del Pezzo surfaces of degree two over finite fields (extended version)
On the Unirationality of del Pezzo surfaces of degree two
Cox rings of degree one del Pezzo surfaces
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