Rudolph's conjecture on the linear independence of algebraic knots

A knot is algebraic if it arises as the link of an isolated singularity of a complex curve. Let $\mathcal{C}$ denote the smooth knot concordance group. Rudolph's conjecture. The set of algebraic knots is linearly independent in $\mathcal{C}$. Rudolph introduced this question in connection with the subgroup generated by algebraic knots. Positive torus knots and other large families are known to be linearly independent, but the full conjecture is not resolved here.