Lines on Non-degenerate Surfaces

Details Lines on Non-degenerate Surfaces Lines on Non-degenerate Surfaces

2000-05-08

arxiv.org/abs/math/0005070v1

Mathematics

Algebraic Geometry

18 pages, 1 figure

Scientific paper

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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