Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Elliptic_surface> ?p ?o }
- Elliptic_surface abstract "In mathematics, an elliptic surface is a surface that has an elliptic fibration, in other words a proper morphism with connected fibers to an algebraic curve such that almost all fibers are smooth curves of genus 1. (Over an algebraically closed field such as the complex numbers, these fibers are elliptic curves, perhaps without a chosen origin.)The surface and the base curve are assumed to be non-singular (complex manifolds or regular schemes, depending on the context). The fibers that are not elliptic curves are called the singular fibers and were classified by Kunihiko Kodaira. Both elliptic and singular fibers are important in string theory, especially in F-theory.Elliptic surfaces form a large class of surfaces that contains many of the interesting examples of surfaces, and are relatively well-understood in the theories of complex manifolds and smooth 4-manifolds. They are similar to (have analogies with, that is), elliptic curves over number fields.".
- Elliptic_surface thumbnail Affine_A0_diagram.svg?width=300.
- Elliptic_surface wikiPageExternalLink item?id=PMIHES_1964__21__5_0.
- Elliptic_surface wikiPageID "3073462".
- Elliptic_surface wikiPageLength "12717".
- Elliptic_surface wikiPageOutDegree "68".
- Elliptic_surface wikiPageRevisionID "633297882".
- Elliptic_surface wikiPageWikiLink 4-manifold.
- Elliptic_surface wikiPageWikiLink ADE_classification.
- Elliptic_surface wikiPageWikiLink Affine_Cartan_matrix.
- Elliptic_surface wikiPageWikiLink Algebraic_curve.
- Elliptic_surface wikiPageWikiLink Algebraic_number_field.
- Elliptic_surface wikiPageWikiLink André_Néron.
- Elliptic_surface wikiPageWikiLink Birkhäuser.
- Elliptic_surface wikiPageWikiLink Cartan_matrix.
- Elliptic_surface wikiPageWikiLink Category:Algebraic_surfaces.
- Elliptic_surface wikiPageWikiLink Category:Birational_geometry.
- Elliptic_surface wikiPageWikiLink Category:Complex_surfaces.
- Elliptic_surface wikiPageWikiLink Complex_manifold.
- Elliptic_surface wikiPageWikiLink Conjugacy_class.
- Elliptic_surface wikiPageWikiLink Determinant.
- Elliptic_surface wikiPageWikiLink Differentiable_manifold.
- Elliptic_surface wikiPageWikiLink Dolgachev_surface.
- Elliptic_surface wikiPageWikiLink Dynkin_diagram.
- Elliptic_surface wikiPageWikiLink Elliptic_curve.
- Elliptic_surface wikiPageWikiLink Enriques-Kodaira_classification.
- Elliptic_surface wikiPageWikiLink Enriques_surface.
- Elliptic_surface wikiPageWikiLink Enriques–Kodaira_classification.
- Elliptic_surface wikiPageWikiLink F-theory.
- Elliptic_surface wikiPageWikiLink Genus_(mathematics).
- Elliptic_surface wikiPageWikiLink Homology_(mathematics).
- Elliptic_surface wikiPageWikiLink J-invariant.
- Elliptic_surface wikiPageWikiLink Kodaira_dimension.
- Elliptic_surface wikiPageWikiLink Kodaira_surface.
- Elliptic_surface wikiPageWikiLink Kunihiko_Kodaira.
- Elliptic_surface wikiPageWikiLink List_of_simple_Lie_groups.
- Elliptic_surface wikiPageWikiLink Mathematics.
- Elliptic_surface wikiPageWikiLink Monodromy.
- Elliptic_surface wikiPageWikiLink Mordell-Weil_theorem.
- Elliptic_surface wikiPageWikiLink Mordell–Weil_theorem.
- Elliptic_surface wikiPageWikiLink Morphism.
- Elliptic_surface wikiPageWikiLink Number_field.
- Elliptic_surface wikiPageWikiLink Néron_minimal_model.
- Elliptic_surface wikiPageWikiLink Néron_model.
- Elliptic_surface wikiPageWikiLink Potential_good_reduction.
- Elliptic_surface wikiPageWikiLink Proper_morphism.
- Elliptic_surface wikiPageWikiLink Publications_Mathxc3xa9matiques_de_lIHxc3x89S.
- Elliptic_surface wikiPageWikiLink Regular_scheme.
- Elliptic_surface wikiPageWikiLink Section_(fiber_bundle).
- Elliptic_surface wikiPageWikiLink Shioda_modular_surface.
- Elliptic_surface wikiPageWikiLink Smooth_scheme.
- Elliptic_surface wikiPageWikiLink Springer-Verlag.
- Elliptic_surface wikiPageWikiLink Springer_Science+Business_Media.
- Elliptic_surface wikiPageWikiLink String_theory.
- Elliptic_surface wikiPageWikiLink Tates_algorithm.
- Elliptic_surface wikiPageWikiLink Zero_matrix.
- Elliptic_surface wikiPageWikiLink File:Affine_A0_diagram.svg.
- Elliptic_surface wikiPageWikiLink File:Affine_A1_diagram.svg.
- Elliptic_surface wikiPageWikiLink File:Affine_A2_diagram.svg.
- Elliptic_surface wikiPageWikiLink File:Affine_An_diagram.svg.
- Elliptic_surface wikiPageWikiLink File:Affine_D4_diagram.svg.
- Elliptic_surface wikiPageWikiLink File:Affine_Dn_diagram.svg.
- Elliptic_surface wikiPageWikiLink File:Affine_E6_diagram.svg.
- Elliptic_surface wikiPageWikiLink File:Affine_E7_diagram.svg.
- Elliptic_surface wikiPageWikiLink File:Affine_E8_diagram.svg.
- Elliptic_surface wikiPageWikiLink File:Kodaira_fiber_0_a.svg.
- Elliptic_surface wikiPageWikiLink File:Kodaira_fiber_0_b.svg.
- Elliptic_surface wikiPageWikiLink File:Kodaira_fiber_0_c.svg.
- Elliptic_surface wikiPageWikiLink File:Kodaira_fiber_A1_a.svg.
- Elliptic_surface wikiPageWikiLink File:Kodaira_fiber_A1_b.svg.
- Elliptic_surface wikiPageWikiLink File:Kodaira_fiber_A2_b.svg.
- Elliptic_surface wikiPageWikiLink File:Kodaira_fiber_An.svg.
- Elliptic_surface wikiPageWikiLink File:Kodaira_fiber_D4.svg.
- Elliptic_surface wikiPageWikiLink File:Kodaira_fiber_Dn.svg.
- Elliptic_surface wikiPageWikiLink File:Kodaira_fiber_E6.svg.
- Elliptic_surface wikiPageWikiLink File:Kodaira_fiber_E7.svg.
- Elliptic_surface wikiPageWikiLink File:Kodaira_fiber_E8.svg.
- Elliptic_surface wikiPageWikiLinkText "Elliptic surface".
- Elliptic_surface wikiPageWikiLinkText "Kodaira's classification of singular fibers".
- Elliptic_surface wikiPageWikiLinkText "complete list of the possible singular fibers".
- Elliptic_surface wikiPageWikiLinkText "elliptic surface".
- Elliptic_surface wikiPageWikiLinkText "properly elliptic surface".
- Elliptic_surface wikiPageWikiLinkText "quasi elliptic surface".
- Elliptic_surface wikiPageWikiLinkText "special fiber".
- Elliptic_surface hasPhotoCollection Elliptic_surface.
- Elliptic_surface wikiPageUsesTemplate Template:Cite_book.
- Elliptic_surface wikiPageUsesTemplate Template:Cite_journal.
- Elliptic_surface wikiPageUsesTemplate Template:Reflist.
- Elliptic_surface subject Category:Algebraic_surfaces.
- Elliptic_surface subject Category:Birational_geometry.
- Elliptic_surface subject Category:Complex_surfaces.
- Elliptic_surface hypernym Surface.
- Elliptic_surface type Article.
- Elliptic_surface type Bone.
- Elliptic_surface type Article.
- Elliptic_surface type Surface.
- Elliptic_surface type Variety.
- Elliptic_surface comment "In mathematics, an elliptic surface is a surface that has an elliptic fibration, in other words a proper morphism with connected fibers to an algebraic curve such that almost all fibers are smooth curves of genus 1. (Over an algebraically closed field such as the complex numbers, these fibers are elliptic curves, perhaps without a chosen origin.)The surface and the base curve are assumed to be non-singular (complex manifolds or regular schemes, depending on the context).".
- Elliptic_surface label "Elliptic surface".
- Elliptic_surface sameAs 楕円曲面.