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A surface of general type with \( p_g =q =0, K^2 =1 \)

Caryn Werner
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Abstract

We construct a surface of general type with invariants \( χ= K^2 = 1 \) and torsion group \( \Bbb{Z}/{2} \). 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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Caryn Werner. 1994-08-24. A surface of general type with \( p_g =q =0, K^2 =1 \). https://arxiv.org/abs/alg-geom/9408007

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