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

Abstract

In this paper we construct a simply connected, minimal, complex surface of general type with p_g=0 and K^2=2 using a rational blow-down surgery and Q-Gorenstein smoothing theory.

19 pages, 6 figures. To appear in Inventiones Mathematicae

References in corpus (1)

• On Park's exotic smooth four-manifolds

Cited by in corpus (4)

• Quotients of products of curves, new surfaces with $p_g=0$ and their fundamental groups
• Additivity and Relative Kodaira Dimensions
• Rational blow-downs and smoothings of surface singularities
• Extending hyperelliptic K3 surfaces, and Godeaux surfaces with torsion Z/2