Syzygies of the secant variety of a curve

Abstract

We show that 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.

24 pages; minor revision and reorganization

References in corpus (2)

• Geometric syzygies of elliptic normal curves and their secant varieties
• Generation and syzygies of the first secant variety

Cited by in corpus (4)

• Singularities and syzygies of secant varieties of nonsingular projective curves
• A generalization of the Clifford index and determinantal equations for curves and their secant varieties
• Generation and syzygies of the first secant variety
• Arithmetic properties of the first secant variety to a projective variety