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\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.

arXiv comment78 pages, 16 figures, Final version will appear in Proc. London Math

References in corpus (1)

• A simply connected surface of general type with p_g=0 and K^2=2

Cited by in corpus (12)

• Nonexistence of asymptotic GIT compactification
• Cylinders in del Pezzo surfaces
• Exceptional collections on Dolgachev surfaces associated with degenerations
• The Craighero-Gattazzo surface is simply-connected
• On tautness of two-dimensional $F$-regular and $F$-pure rational singularities
• On taut singularities in arbitrary characteristics
• Bogomolov-Sommese vanishing and liftability for surface pairs in positive characteristic
• Weak Akizuki-Nakano vanishing theorem for globally $F$-split 3-folds
• Links of sandwiched surface singularities and self-similarity
• Grothendieck duality and Q-Gorenstein morphisms
• Automorphisms of smooth canonically polarized surfaces in characteristic 2
• On smooth projective D-affine varieties