Excess dimension for secant loci in symmetric products of curves

Abstract

We extend a result of W. Fulton, J. Harris and R. Lazarsfeld to secant loci in symmetric products of curves. We compare three secant loci and prove the the dimensions of bigger loci can not be excessively larger than the dimension of smaller loci.

final version, to appear in Collectanea Math

References in corpus (2)

• The generic Green-Lazarsfeld secant conjecture
• Secant spaces and syzygies of special line bundles on curves

Cited by in corpus (1)

• A note on the Tangent Cones of the scheme of Secant Loci