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.; Van Luijk, R.. - In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6093. - 48:1(2015), pp. 135-140. [10.1112/blms/bdv085]
Unirationality of del Pezzo surfaces of degree 2 over finite fields
Festi, D.;
2015
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.File in questo prodotto:
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