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

作者：Gonzalez Sanchez Jon^*; Harrison Michael; Polo Blanco Irene; Schicho Josef

来源：Journal of Symbolic Computation, 2012, 47(3): 342-353.

DOI：10.1016/j.jsc.2011.12.002

• Del Pezzo surfaces
• Rational points
• Rational parametrisation

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.

• 出版日期2012-3