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arXiv · 1408.0269

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

Dino Festi·Ronald van Luijk
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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 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.

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Dino Festi, Ronald van Luijk. 2014-08-01. Unirationality of del Pezzo surfaces of degree two over finite fields (extended version). https://arxiv.org/abs/1408.0269

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