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MR2496050 14J29 (14J10 14J17 57R17)
Park, Heesang; Park, Jongil; Shin, Dongsoo A simply connected surface of general type with $p_g=0$ and $K^2=4$. Geom. Topol. 13 (2009), no. 3, 1483–1494.
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