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arXiv math/0503180math.ACmath.AG
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使用近似复形的隐式化

Implicitization using approximation complexes

Marc Chardin

摘要:

我们提出了一种方法的隐式化问题,可以追溯到工作的Sederberg和陈。我们使用的形式主义,近似复合物作为一个关键因素,是由于让-皮埃尔Jouanolou和详细解释在这方面,他与洛朗Buse的联合工作。本文的大部分内容致力于介绍该方法,其背后的几何思想以及所需的交换代数工具。在最后一节中,我们给出了与这种方法相关的最先进的结果。

英文摘要:

We present a method for the implicitization problem that goes back to the work of Sederberg and Chen. The formalism we use, with approximation complexes as a key ingredient, is due to Jean-Pierre Jouanolou and was explained in details in this context in his joint work with Laurent Buse. Most of this note is dedicated to presenting the method, the geometric ideas behind it and the tools from commutative algebra that are needed. In the last section, we give the most advanced results we know related to this approach.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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