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

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

2011-03-27

arxiv.org/abs/1103.5185v2

Mathematics

Algebraic Geometry

78 pages, 16 figures, Final version will appear in Proc. London Math

Scientific paper

Algebraically simply connected surfaces of general type with p_g=q=0 and 1\le K^2\le 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 in the field of complex numbers to the positive characteristic case, and Grothendieck's specialization theorem for the fundamental group.

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