Name
Abstract | ||
|---|---|---|
By a criterion of Swinnerton-Dyer it is known that a smooth cubic surface S defined over Q is birationally trivial over Q if and only if S ( Q ) ź ź and S contains a Gal ( Q ź , Q ) -stable set of 2, 3 or 6 skew lines. In this text we describe birationally trivial smooth cubic surfaces over Q and provide algorithms to construct explicit cubic surfaces for each of the cases in Swinnerton-Dyer's criterion. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.jsc.2016.02.010 | J. Symb. Comput. |
Keywords | Field | DocType |
Del Pezzo,Rational surface,Cubic surface,Parametrization,Algorithm | Cubic surface,Discrete mathematics,Skew lines,Combinatorics,Parametrization,Algorithm,Rational surface,Independent set,Mathematics | Journal |
Volume | Issue | ISSN |
79 | P2 | 0747-7171 |
Citations | PageRank | References |
0 | 0.34 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jon Gonzalez-Sanchezand | 1 | 1 | 1.06 |
| Irene Polo-Blancoand | 2 | 4 | 1.57 |