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arxiv: alg-geom/9408007 · v1 · submitted 1994-08-24 · alg-geom · math.AG

A surface of general type with \( p_g =q =0, K² =1 \)

classification alg-geom math.AG
keywords curvedoublegeneralplanesurfacetypealongbranched
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We construct a surface of general type with invariants \( \chi = K^2 = 1 \) 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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