Avoiding the quotient step in balanced-reflection constructions

Determine whether the balanced-reflection principle can be combined with a dynamical nef ray on a smooth family so that the quotient step is avoided, and whether this can produce infinite families of irrational one-point Seshadri constants on smooth surfaces of fixed Picard number.

Background

The paper develops a balanced-reflection principle: a nef class on a special fiber can be reflected across a rational curve with balanced normal bundle to yield a nef class on very general fibers. In the construction presented, a dihedral-group quotient is used to convert a multipoint Seshadri-constant equality on a product of projective lines into a one-point equality on a singular quotient and then on a smooth rational surface.

The authors explicitly ask whether the reflection mechanism can instead be combined with a dynamical nef ray directly in a smooth family, without using a finite-group quotient. They further ask whether such a quotient-free approach could yield infinitely many irrational one-point Seshadri constants while keeping the Picard number of the underlying smooth surfaces fixed.