Abstract | ||
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Given a rational parametrization of an algebraic surface, we try to reduce the degree by a suitable reparametrization. We give an algorithm that produces a parametrization with a degree that is at most twice the minimal degree. The problem is closely related to the simplification of linear systems of plane curves by Cremona transformations. |
Year | DOI | Venue |
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2002 | 10.1145/780506.780536 | International Symposium on Symbolic and Algebraic Computation |
Keywords | Field | DocType |
surface parametrizations,rational parametrization,cremona transformation,minimal degree,linear system,suitable reparametrization,algebraic surface,plane curve,algebraic surfaces,algebraic numbers,fractions | Discrete mathematics,Algebraic number,Function field of an algebraic variety,Parametrization,Algebraic surface,Algebraic extension,Plane curve,Real algebraic geometry,Mathematics,Polar curve | Conference |
ISBN | Citations | PageRank |
1-58113-484-3 | 4 | 0.66 |
References | Authors | |
9 | 1 |
Name | Order | Citations | PageRank |
---|---|---|---|
Josef Schicho | 1 | 121 | 21.43 |