Journal of Algebraic Geometry Journal of Algebraic Geometry

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

Author(s): Claire Voisin
Journal: J. Algebraic Geom. 13 (2004), 343-347.
Posted: December 4, 2003
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Abstract | References | Additional information

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.

References:

1.
A. Bertram: Moduli of rank 2 vector bundles, theta divisors, and the geometry of curves in projective space, J. Diff. Geom. 35, 1992, 429-469.

Additional Information:

Claire Voisin
Affiliation: Institut de Mathématiques de Jussieu, CNRS, UMR 7586, 175 rue du Chevaleret, 75013 Paris, France
Email: voisin@math.jussieu.fr

PII: S 1056-3911(03)00354-0
Received by editor(s): November 20, 2001
Posted: December 4, 2003

Journal of Algebraic Geometry
The Journal of Algebraic Geometry
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