A simply connected numerical Godeaux surface with ample canonical class

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dc.creatorDolgachev, I.
dc.creatorWerner, C.
dc.date1997-04-25
dc.date1998-02-03
dc.date.accessioned2026-07-07T09:01:51Z
dc.date.available2026-07-07T09:01:51Z
dc.descriptionWe 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.
dc.descriptionplain Tex 22 pages; 1 figure added, revised proofs of several results, corrected typos
dc.identifierhttps://arxiv.org/abs/alg-geom/9704022
dc.identifierhttp://arxiv.org/abs/alg-geom/9704022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148423
dc.subjectAlgebraic Geometry
dc.titleA simply connected numerical Godeaux surface with ample canonical class
dc.typetext

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