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arXiv:1012.2186 [math.AG]AbstractReferencesReviewsResources

The varieties of tangent lines to hypersurfaces in projective spaces

Atsushi Ikeda

Published 2010-12-10Version 1

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.

Comments: 10 pages
Categories: math.AG
Subjects: 14C05, 14M15
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