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

Abstract

Algebraically simply connected surfaces of general type with p(g)=q=0 and 1 <= K-2 <= 4 in positive characteristic (with one exception in K-2=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.