Weakly defective varieties
作者： L. Chiantini , C. Ciliberto
DOI: 10.1090/S0002-9947-01-02810-0
关键词: Mathematical analysis 、 Algebraic geometry 、 Variety (universal algebra) 、 Projective variety 、 Secant variety 、 Hyperplane 、 Projective geometry 、 Manifold 、 Intersection 、 Mathematics 、 Pure mathematics
摘要: A projective variety X is k-weakly defective' when its intersection with a general (k + 1)-tangent hyperplane has no isolated singularities at the k 1 points of tangency. If k-defective, i.e. if k-secant dimension smaller than expected, then also defective. The converse does not hold in general. classification weakly defective varieties seems to be basic step study higher dimension. We start this here, describing all irreducible surfaces. Our method provides new proof classical Terracini's k-defective
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