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 (6)

• Simply connected symplectic 4-manifolds with $b_2^{+}=1$ and $c_1^2=2$
• An exotic smooth structure on CP^2+6CP^2-bar
• On the Moduli space of diffeomorphic algebraic surfaces
• A simply connected numerical Godeaux surface with ample canonical class
• Generalized symplectic rational blowdowns
• On Park's exotic smooth four-manifolds

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