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

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

1994-08-24

arxiv.org/abs/alg-geom/9408007v1

Mathematics

Algebraic Geometry

13 pages, AMS-LaTex version 1.1

Scientific paper

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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