Resumen de Excess dimension for secant loci in symmetric products of curves

Marian Aprodu, Edoardo Sernesi

• We extend a result of W. Fulton, J. Harris and R. Lazarsfeld [6] to secant loci in symmetric products of curves. We compare three secant loci and prove that the dimensions of bigger loci can not be excessively larger than the dimension of smaller loci.