A Fake Projective Plane with an order 7 automorphism

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A fake projective plane is a compact complex manifold of dimension 2 which has the same Betti numbers as the complex projective plane, but not isomorphic to the complex projective plane. As was shown by D. Mumford, there exists at least one such surface. In this paper we prove the existence of a fake projective plane which is birational to a cyclic cover of degree 7 of a Dolgachev surface.
An error in the previous version has been corrected. 9 pages

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Algebraic Geometry, Algebraic Topology, 14J29

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http://salesiana.dossiersoluciones.com/handle/123456789/101277

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505339
 http://arxiv.org/abs/math/0505339

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arXiv