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Lines on Non-degenerate Surfaces

Guangfeng Jiang·Mutsuo Oka
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Abstract

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.

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Guangfeng Jiang, Mutsuo Oka. 2000-05-08. Lines on Non-degenerate Surfaces. https://arxiv.org/abs/math/0005070

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