In this article, we first generalize the recent notion of residual resultant of a complete intersection [4] to the case of a local complete intersection of codimension 2 in the projective plane, which is the necessary and sufficient condition for a system of three polynomials to have a solution "outside" a variety, defined here by a local complete intersection of codimension 2. We give its degree in the coefficients of each polynomial and compute it as the god of three polynomials or as a product of two determinants divided by another one. In a second part we use this new type of resultant to give a new method to compute the implicit equation of a rational surface with base points in the case where these base points are a local complete intersection of codimension 2.
在本文中,我们首先将完整交集[4]的残差结果的最新概念推广到投影平面上余维2的局部完整交集的情况,这是系统的充要条件。三个多项式具有“多种”解的解决方案,在这里由一个局部完整的交集2交集定义。我们用每个多项式的系数给出其阶数,并将其作为三个多项式的神或两个行列式除法的乘积来计算被另一个。在第二部分中,我们将使用这种新型的结果来提供一种新方法,以计算具有基点的有理曲面的隐式方程,前提是这些基点是余维2的局部完整交集。 P>
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机译:一维Lemaitre各向同性损伤模型和平面应力投影隐式积分程序的解析解
机译:通过隐式方程插值的结果消除
机译:在投影平面上的残余产生和隐式化问题
机译:基点,结果和有理曲面的隐式表示。
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机译:投影平面上的剩余结果和隐式问题
机译:附着在弹性圆柱上且受集中荷载作用的刚性环中的应力结果和平面外变形