Unirationality of del Pezzo surfaces of degree two over finite fields

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 Várilly-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.

This is a short version (5 pages) of arXiv:1408.0269; the longer version contains more details and more general results

References in corpus (2)

• On the Unirationality of del Pezzo surfaces of degree two
• Unirationality of del Pezzo surfaces of degree two over finite fields (extended version)