A surface of general type with \( p_g =q =0, K² =1 \)
classification
alg-geom
math.AG
keywords
curvedoublegeneralplanesurfacetypealongbranched
read the original abstract
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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