Simply connected surfaces of general type in positive characteristic via deformation theory

Abstract

Algebraically simply connected surfaces of general type with pg=q=0 and 1⩽K2⩽4 in positive characteristic (with one exception in K2=4) are presented by using a ℚ-Gorenstein smoothing of two-dimensional toric singularities, a generalization of Lee–Park's construction [36] to the positive characteristic case, and Grothendieck's specialization theorem for the fundamental group.