Algorithms for Del Pezzo Surfaces of Degree 5 (Construction, Parametrization)
arXiv:1009.4044
Abstract
It is well known that every Del Pezzo surface of degree 5 defined over k is parametrizable over k. In this paper we give an efficient construction for parametrizing, as well as algorithms for constructing examples in every isomorphism class and for deciding equivalence.
15 pages