Algorithms for Del Pezzo surfaces of degree 5 (construction, parametrization)

Authors:
Jon González-Sánchez;Michael Harrison;Irene Polo-Blanco;Josef Schicho
Affiliations:
Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain;RICAM, Austrian Academy of Sciences, 4040 Linz, Austria;Departamento de Matemáticas, Estadística y Computación, Universidad de Cantabria, 39005 Santander, Spain;RICAM, Austrian Academy of Sciences, 4040 Linz, Austria
Venue:
Journal of Symbolic Computation
Year:
2012

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Abstract

It is well known that every Del Pezzo surface of degree 5 defined over a field k is parametrizable over k. In this paper, we give an algorithm for parametrizing, as well as algorithms for constructing examples in every isomorphism class and for deciding equivalence.