A simply connected numerical Godeaux surface with ample canonical class

Details A simply connected numerical Godeaux surface with ample canonical class A simply connected numerical Godeaux surface with ample canonical class

1997-04-25

arxiv.org/abs/alg-geom/9704022v2

Mathematics

Algebraic Geometry

plain Tex 22 pages; 1 figure added, revised proofs of several results, corrected typos

Scientific paper

We prove that a recent construction of a numerical Godeaux surface due to P.
Craighero and R. Gattazzo is simply connected, and show how to realize their
construction as a double plane. By proving that the surface contains no
(-2)-curves, we obtain that this is the first example of a simply connected
surface with vanishing geometric genus and ample canonical class.

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