About: Fake projective plane

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In mathematics, a fake projective plane (or Mumford surface) is one of the 50 complex algebraic surfaces that have the same Betti numbers as the projective plane, but are not isomorphic to it. Such objects are always algebraic surfaces of general type.

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rdfs:label	Fake projective plane (en) Фальшивая проективная плоскость (ru)
rdfs:comment	In mathematics, a fake projective plane (or Mumford surface) is one of the 50 complex algebraic surfaces that have the same Betti numbers as the projective plane, but are not isomorphic to it. Such objects are always algebraic surfaces of general type. (en) Фальшивая проективная плоскость (или поверхность Мамфорда) — это одна из 50 комплексных алгебраических поверхностей, которые имеют те же числа Бетти, что и у проективной плоскости, но не гомеоморфны ей.Такие объекты всегда являются алгебраическими . (ru)
dcterms:subject	Algebraic surfaces Complex surfaces
Wikipage page ID	22723502 (xsd:integer)
Wikipage revision ID	1123140149 (xsd:integer)
Link from a Wikipage to another Wikipage	American Journal of Mathematics Beauville surface Hermitian form Euler-Poincaré characteristic Mostow strong rigidity Algebraic surface Betti number Inventiones Mathematicae Coxeter–Dynkin diagram Proceedings of the National Academy of Sciences Arithmetic group Communications on Pure and Applied Mathematics dbr:Complex_projective_plane Fundamental group Publications Mathématiques de l'IHÉS Dolgachev surface Fake projective space Isomorphic Surfaces of general type Algebraic surfaces Complex surfaces Topology (journal) Torsion-free module Pacific Journal of Mathematics Discrete subgroup dbr:P-adic_uniformization
Link from a Wikipage to an external page	http://nrs.harvard.edu/urn-3:HUL.InstRepos:3612860 http://hkumath.hku.hk/~imr/IMRPreprintSeries/IMRPreprintSeries2004-.htm http://www.numdam.org/item%3Fid=PMIHES_1989__69__91_0 http://www.mpim-bonn.mpg.de/preprints/send%3Fbid=3351 http://www.bourbaki.ens.fr/TEXTES/984.pdf%7Caccess-date=2009-05-08%7Carchive-url=https:/web.archive.org/web/20110609193039/http:/www.bourbaki.ens.fr/TEXTES/984.pdf%7Carchive-date=2011-06-09%7Curl-status=dead http://projecteuclid.org/euclid.ajm/1087840911 http://projecteuclid.org/euclid.pjm/1102807039
sameAs	Fake projective plane Fake projective plane Fake projective plane Fake projective plane Fake projective plane
dbp:wikiPageUsesTemplate	dbt:Citation dbt:For dbt:Harv dbt:Harvtxt dbt:Radic dbt:Harvs
has abstract	In mathematics, a fake projective plane (or Mumford surface) is one of the 50 complex algebraic surfaces that have the same Betti numbers as the projective plane, but are not isomorphic to it. Such objects are always algebraic surfaces of general type. (en) Фальшивая проективная плоскость (или поверхность Мамфорда) — это одна из 50 комплексных алгебраических поверхностей, которые имеют те же числа Бетти, что и у проективной плоскости, но не гомеоморфны ей.Такие объекты всегда являются алгебраическими . (ru)
prov:wasDerivedFrom	wikipedia-en:Fake_projective_plane?oldid=1123140149&ns=0
page length (characters) of wiki page	12865 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Fake_projective_plane
is Link from a Wikipage to another Wikipage of	Enriques–Kodaira classification List of complex and algebraic surfaces Gopal Prasad Bogomolov–Miyaoka–Yau inequality dbr:Complex_projective_plane Fake projective space Surface of general type Mumford surface Fake quadric
is Wikipage redirect of	Mumford surface Fake quadric
is foaf:primaryTopic of	wikipedia-en:Fake_projective_plane

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