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- Kato_surface abstract "In mathematics, a Kato surface is a compact complex surface with positive first Betti number that has a global spherical shell. Kato (1978) showed that Kato surfaces have small analytic deformations that are the blowups of primary Hopf surfaces at a finite number of points. In particular they have an infinite cyclic fundamental group, and are never Kähler manifolds. Examples of Kato surfaces include Inoue-Hirzebruch surfaces and Enoki surfaces. The global spherical shell conjecture claims that all class VII surfaces with positive second Betti number are Kato surfaces.".
- Kato_surface wikiPageExternalLink 1113246942.
- Kato_surface wikiPageID "22888989".
- Kato_surface wikiPageLength "1485".
- Kato_surface wikiPageOutDegree "10".
- Kato_surface wikiPageRevisionID "626959411".
- Kato_surface wikiPageWikiLink Betti_number.
- Kato_surface wikiPageWikiLink Category:Complex_surfaces.
- Kato_surface wikiPageWikiLink Class_VII_surface.
- Kato_surface wikiPageWikiLink Enoki_surface.
- Kato_surface wikiPageWikiLink Fundamental_group.
- Kato_surface wikiPageWikiLink Global_spherical_shell.
- Kato_surface wikiPageWikiLink Global_spherical_shell_conjecture.
- Kato_surface wikiPageWikiLink Hopf_surface.
- Kato_surface wikiPageWikiLink Inoue-Hirzebruch_surface.
- Kato_surface wikiPageWikiLink Inoue–Hirzebruch_surface.
- Kato_surface wikiPageWikiLink Kähler_manifold.
- Kato_surface wikiPageWikiLink Primary_Hopf_surface.
- Kato_surface wikiPageWikiLink Surface_of_class_VII.
- Kato_surface wikiPageWikiLinkText "Kato surface".
- Kato_surface hasPhotoCollection Kato_surface.
- Kato_surface wikiPageUsesTemplate Template:Citation.
- Kato_surface wikiPageUsesTemplate Template:Harvtxt.
- Kato_surface subject Category:Complex_surfaces.
- Kato_surface hypernym Surface.
- Kato_surface type Bone.
- Kato_surface type Surface.
- Kato_surface comment "In mathematics, a Kato surface is a compact complex surface with positive first Betti number that has a global spherical shell. Kato (1978) showed that Kato surfaces have small analytic deformations that are the blowups of primary Hopf surfaces at a finite number of points. In particular they have an infinite cyclic fundamental group, and are never Kähler manifolds. Examples of Kato surfaces include Inoue-Hirzebruch surfaces and Enoki surfaces.".
- Kato_surface label "Kato surface".
- Kato_surface sameAs m.063z0z0.
- Kato_surface sameAs Q6377761.
- Kato_surface sameAs Q6377761.
- Kato_surface wasDerivedFrom Kato_surface?oldid=626959411.
- Kato_surface isPrimaryTopicOf Kato_surface.