A simply connected surface of general type with p_g=0 and K²=4

2008/03/31 by Heesang Park, Jongil Park, Dongsoo Shin · 1 citation
Mathematics · #math.AG #math.GT #msc:14J29 #msc:14J10 #msc:14J17 #msc:53D05

paper · pdf · doi:10.2140/gt.2009.13.1483

published as Geom. Topol. 13 (2009) 1483-1494 · 9 pages, 7 figures. More examples are provided

arxiv created 2008/09/22 · arxiv updated 2014/11/11

Abstract

As the sequel to [5, 7], we construct a simply connected minimal complex surface of general type with p_g = 0 and K² = 4 by using a rational blow-down surgery and Q-Gorenstein smoothing theory.

Cited by

• Wahl singularities in degenerations of del Pezzo surfaces

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