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arXiv math/0005070math.AG
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非退化曲面上的直线

Lines on Non-degenerate Surfaces

Guangfeng Jiang, Mutsuo Oka

摘要:

在由齐次多项式定义的仿射簇$X$上,$X$的切锥中的每条直线都是$X$的子簇。然而,有许多其他的芽的分析品种,这不是锥型,但包含“线”通过原点。在本文中,我们给出了一个方法来确定存在的“数”的非退化曲面奇点上的这种线。

英文摘要:

On an affine variety $X$ defined by homogeneous polynomials, every line in the tangent cone of $X$ is a subvariety of $X$. However there are many other germs of analytic varieties which are not of cone type but contain ``lines'' passing through the origin. In this paper, we give a method to determine the existence and the ``number'' of such lines on non-degenerate surface singualrities.

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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