English

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

Algebraic Geometry 2007-05-23 v1 Number Theory

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.

Cite

@article{arxiv.math/0110256,
  title  = {Appendix: On linear subspaces contained in the secant varieties of a projective curve},
  author = {Claire Voisin},
  journal= {arXiv preprint arXiv:math/0110256},
  year   = {2007}
}

Comments

4 pages

R2 v1 2026-07-22T16:41:09.756Z