Appendix to 'Secant varieties and successive minima' by C. Soule: On linear subspaces contained in the secant varieties of a projective curve

摘要

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.