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arXiv · 1103.5185

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

Yongnam Lee·Noboru Nakayama
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Abstract

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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Yongnam Lee, Noboru Nakayama. 2012-04-06. Simply connected surfaces of general type in positive characteristic via deformation theory. https://doi.org/10.1112/plms%2Fpds033

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