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

Mathematics – Algebraic Geometry

Scientific paper

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19 pages, 6 figures. To appear in Inventiones Mathematicae

Scientific paper

10.1007/s00222-007-0069-7

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.

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