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

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

2001-10-23

arxiv.org/abs/math/0110256v1

Mathematics

Algebraic Geometry

4 pages

Scientific paper

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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