We prove that every del Pezzo surface of degree 2 over a finite field is unirational, building on the work of Manin and an extension by Salgado, Testa, and Varilly-Alvarado, who had proved this for all but three surfaces. Over general fields of characteristic not equal to 2, we state sufficient conditions for a del Pezzo surface of degree 2 to be unirational.

Unirationality of del Pezzo surfaces of degree 2 over finite fields

Festi, D.;
2015-01-01

Abstract

We prove that every del Pezzo surface of degree 2 over a finite field is unirational, building on the work of Manin and an extension by Salgado, Testa, and Varilly-Alvarado, who had proved this for all but three surfaces. Over general fields of characteristic not equal to 2, we state sufficient conditions for a del Pezzo surface of degree 2 to be unirational.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/613550
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