2604.01316 Every Supersingular K3 Surface in Characteristic 3 Has Artin Invariant at Most 6: A Crystalline Proof
We establish new results concerning supersingular surfaces in the context of artin invariant, resolving a question that has remained open since it was first posed in the literature. Our approach combines techniques from crystalline cohomology with careful analysis of degeneration phenomena to construct explicit examples and derive sharp bounds.