Simply connected surfaces of general type in positive characteristic via deformation theory
Algebraic Geometry
2014-02-26 v2
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.
Keywords
Cite
@article{arxiv.1103.5185,
title = {Simply connected surfaces of general type in positive characteristic via deformation theory},
author = {Yongnam Lee and Noboru Nakayama},
journal= {arXiv preprint arXiv:1103.5185},
year = {2014}
}
Comments
78 pages, 16 figures, Final version will appear in Proc. London Math