Algorithms for Del Pezzo Surfaces of Degree 5 (Construction, Parametrization)

2010/09/21 by Jon Gonzalez-Sanchez, Gonzalez-Sanchez, Jon, Michael Harrison +5
Mathematics · #14Q10 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14Q10

paper · pdf · doi:10.48550/arxiv.1009.4044

15 pages

arxiv created 2011/05/17 · arxiv updated 2011/05/18

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.

Related

• Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras
• Del Pezzo surfaces of degree 5 over perfect fields
• Del Pezzo Surfaces of degree 6 over an arbitrary field
• Degree of Unirationality for del Pezzo Surfaces over Finite Fields
• Del Pezzo surfaces of degree 6