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

Claire Voisin (1)

1 IMJ - Institut de Mathématiques de Jussieu

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.

Domaines: Géométrie algébrique [math.AG]; Théorie des nombres [math.NT]

Claire Voisin. Appendix: On linear subspaces contained in the secant varieties of a projective curve. Journal of Algebraic Geometry, 2004, 13, pp.343-347. ⟨hal-00021775⟩