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 in the field of complex numbers to the positive characteristic case, and Grothendieck's specialization theorem for the fundamental group.
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