We show that every supersingular K3 surface in characteristic 5 with Artin invariant ≤ 3 is unirational.

We show that every supersingular K3 surface in characteristic 5 with Artin invariant ≤ 3 is unirational.

We show that every supersingular K3 surface in characteristic 5 with Artin invariant ≤ 3 is unirational.

We define a new invariant of surfaces, stable on connected components of moduli spaces of surfaces. The new invariant comes from the polycyclic structure of the fundamental group of the complement of a branch curve. We compute this invariant for a few examples. Braid monodromy factorizations related to curves is a first step in computing the fundamental group of the complement of the curve, and...