Dino Festi, Ronald van Luijk
Published 2014-08-01, updated 2015-05-05Version 2
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, we state several sufficient conditions for a del Pezzo surface of degree two to be unirational.
Comments: Some minor changes, including the title. We have posted a shorter version with the original title and we have called this the extended version. 21 pages; a file with magma code verifying some computational claims can be obtained by downloading the source
Unirationality of del Pezzo surfaces of degree two over finite fields
On the Unirationality of del Pezzo surfaces of degree two
Adjoint representation of E_8 and del Pezzo surfaces of degree 1
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