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Appendix: On linear subspaces contained in the secant varieties of a projective curve

Claire Voisin
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Abstract

We show that the d-th secant variety of a projective curve of genus g imbedded in projective space by a complete linear system of degree 2g-2+m, with m at least 2d+3, does not contain linear spaces of dimension bigger than d-1, and that the only linear subspaces of dimension d-1 contained in it are the obvious ones.

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Claire Voisin. 2001-10-23. Appendix: On linear subspaces contained in the secant varieties of a projective curve. https://arxiv.org/abs/math/0110256

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