论文标题

表面的生育重新构度

Birational Reparametrizations of Surfaces

论文作者

Caravantes, Jorge, Pérez-Díaz, Sonia, Sendra, J. Rafael

论文摘要

给定表面的Urirational参数化,我们提出了一种一般算法来确定不使用参数化算法的异性参数化。另外,如果假定表面具有空基基因座的Birational参数化,并且输入参数是横向的,则溶液的度量是预先确定的,并降低了溶液空间的尺寸。结果,对于这些情况,我们提出了第二个更快的算法。

Given a unirational parameterization of a surface, we present a general algorithm to determine a birational parameterization without using parameterization algorithms. Additionally, if the surface is assumed to have a birational parametrization with empty base locus, and the input parametrization is transversal, the degree of the solution is determined in advance and the dimension of the space of solutions is reduced. As a consequence, for these cases, we present a second faster algorithm.

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