A surface of general type with \( pg =q =0, K2 =1 \)
Caryn Werner
Abstract
We construct a surface of general type with invariants \( χ= K2 = 1 \) and torsion group \( Z/2 \). We use a double plane construction by finding a plane curve with certain singularities, resolving these, and taking the double cover branched along the resulting smooth curve.
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