Abstract
We construct complex surfaces of general type with pg=0 and K2=3,4 as double covers of Enriques surfaces (called Keum–Naie surfaces) with a different way to the original constructions of Keum and Naie. As a result, we show that there is a (−4)-curve on the example with K2=3, which might imply a special relation between Keum–Naie surfaces with K2=3 and K2=4.
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