The varieties of tangent lines to hypersurfaces in projective spaces

Details The varieties of tangent lines to hypersurfaces in projective spaces The varieties of tangent lines to hypersurfaces in projective spaces

2010-12-10

arxiv.org/abs/1012.2186v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

For a hypersurface in a projective space, we consider the set of pairs of a
point and a line in the projective space such that the line intersects the
hypersurface at the point with a fixed multiplicity. We prove that this set of
pairs forms a smooth variety for a general hypersurface.

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