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Syzygies of the secant
variety of a curve
Jessica Sidman and Peter Vermeire |
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Vol. 3 (2009), No. 4, 445–465
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Abstract |
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We show the secant variety of a linearly normal smooth curve of degree at least 2g + 3 is arithmetically Cohen–Macaulay, and we use this information to study the graded Betti numbers of the secant variety. |
Keywords
syzygies, secant varieties, projective curves, graded Betti
numbers
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Mathematical Subject Classification 2000
Primary: 13D02
Secondary: 14N05, 14H99, 14F05
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Milestones
Received: 1 September 2008
Revised: 1 April 2009
Accepted: 29 April 2009
Published: 15 June 2009
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Authors |
| Jessica Sidman | |
| Mount Holyoke College Department of Mathematics and Statistics 415A Clapp Lab South Hadley, MA 01075 United States |
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| Peter Vermeire | |
| Central Michigan University Department of Mathematics 214 Pearce Mount Pleasant, MI 48859 United States |
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