2009-07-01Zeitschriftenartikel DOI: 10.1515/ADVGEOM.2009.023
Let X ⊂ be a smooth variety. The embedding in gives naturally rise to the notion of embedded tangent spaces. That is the locus spanned by tangent lines to a point x ∈ X. Generally the embedded tangent space intersects the variety X only at the point x. In this paper I am interested in those X for which this intersection, for x ∈ X general, is a positive dimensional subvariety. The results of this paper support the conjecture that these varieties are built out of some special varieties.
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