Equations and syzygies of the first secant variety to a smooth curve
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Abstract:
We show that if $C$ is a linearly normal smooth curve embedded by a line bundle of degree at least $2g+3+p$, then the secant variety to the curve satisfies $N_{3,p}$.References
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Additional Information
- Peter Vermeire
- Affiliation: Department of Mathematics, 214 Pearce Hall, Central Michigan University, Mount Pleasant, Michigan 48859
- MR Author ID: 676175
- Email: p.vermeire@cmich.edu
- Received by editor(s): March 8, 2010
- Published electronically: December 14, 2011
- Communicated by: Irena Peeva
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 2639-2646
- MSC (2010): Primary 14N05, 14H99, 13D02
- DOI: https://doi.org/10.1090/S0002-9939-2011-11392-3
- MathSciNet review: 2910751