Singularities of the Secant Variety

Details Singularities of the Secant Variety Singularities of the Secant Variety

2007-12-14

arxiv.org/abs/0712.2364v1

Mathematics

Algebraic Geometry

6 pages

Scientific paper

We give positivity conditions on the embedding of a smooth variety which
guarantee the normality of the secant variety, generalizing earlier results of
the author and others. We also give classes of secant varieties satisfying the
Hodge conjecture as well as a result on the singular locus of degenerate secant
varieties.

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