Unirationality of del Pezzo surfaces of degree 2 over finite fields

Author(s):
Festi, D.; Luijk, R.M. van (0000-0003-1799-7188)
Published
2016
Publication type
Article / Letter to editor

Abstract

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 Va ́rilly-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.

Date issued
2016-02-01
Language
English
Is part of
Bulletin of the London Mathematical Society (2016), Vol. 48, no. 1, p. 135-140
hdl
1887/46535
doi
10.1112/blms/bdv085