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- Lefschetz_hyperplane_theorem abstract "In mathematics, specifically in algebraic geometry and algebraic topology, the Lefschetz hyperplane theorem is a precise statement of certain relations between the shape of an algebraic variety and the shape of its subvarieties. More precisely, the theorem says that for a variety X embedded in projective space and a hyperplane section Y, the homology, cohomology, and homotopy groups of X determine those of Y. A result of this kind was first stated by Solomon Lefschetz for homology groups of complex algebraic varieties. Similar results have since been found for homotopy groups, in positive characteristic, and in other homology and cohomology theories.".
- Lefschetz_hyperplane_theorem wikiPageExternalLink hodge-str.pdf.
- Lefschetz_hyperplane_theorem wikiPageExternalLink 1028998225.
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- Lefschetz_hyperplane_theorem wikiPageRevisionID "705321747".
- Lefschetz_hyperplane_theorem wikiPageWikiLink Affine_variety.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Alexander_Grothendieck.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Algebraic_geometry.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Algebraic_topology.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Algebraic_variety.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Andreotti–Frankel_theorem.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Annals_of_Mathematics.
- Lefschetz_hyperplane_theorem wikiPageWikiLink CW_complex.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Cambridge_University_Press.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Category:Morse_theory.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Category:Theorems_in_algebraic_geometry.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Category:Theorems_in_algebraic_topology.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Category:Topological_methods_of_algebraic_geometry.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Cohomology.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Cohomology_ring.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Constructible_sheaf.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Exact_sequence.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Homology_(mathematics).
- Lefschetz_hyperplane_theorem wikiPageWikiLink Homotopy_group.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Hopf_surface.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Hyperplane_section.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Intersection_homology.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Kodaira_vanishing_theorem.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Kähler_manifold.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Lefschetz_pencil.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Mathematics.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Michael_Artin.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Morse_theory.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Picard_group.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Princeton_University_Press.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Projective_space.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Publications_Mathxc3xa9matiques_de_lIHxc3x89S.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Relative_homology.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Solomon_Lefschetz.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Springer_Science+Business_Media.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Universal_coefficient_theorem.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Weil_conjectures.
- Lefschetz_hyperplane_theorem wikiPageWikiLink Étale_cohomology.
- Lefschetz_hyperplane_theorem wikiPageWikiLinkText "Lefschetz hyperplane theorem".
- Lefschetz_hyperplane_theorem wikiPageWikiLinkText "Lefschetz hyperplane theorem#Hard Lefschetz theorem".
- Lefschetz_hyperplane_theorem wikiPageUsesTemplate Template:Citation.
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- Lefschetz_hyperplane_theorem wikiPageUsesTemplate Template:Harvtxt.
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- Lefschetz_hyperplane_theorem wikiPageUsesTemplate Template:See_also.
- Lefschetz_hyperplane_theorem subject Category:Morse_theory.
- Lefschetz_hyperplane_theorem subject Category:Theorems_in_algebraic_geometry.
- Lefschetz_hyperplane_theorem subject Category:Theorems_in_algebraic_topology.
- Lefschetz_hyperplane_theorem subject Category:Topological_methods_of_algebraic_geometry.
- Lefschetz_hyperplane_theorem hypernym Statement.
- Lefschetz_hyperplane_theorem type Method.
- Lefschetz_hyperplane_theorem type Redirect.
- Lefschetz_hyperplane_theorem type Theorem.
- Lefschetz_hyperplane_theorem type Thing.
- Lefschetz_hyperplane_theorem comment "In mathematics, specifically in algebraic geometry and algebraic topology, the Lefschetz hyperplane theorem is a precise statement of certain relations between the shape of an algebraic variety and the shape of its subvarieties. More precisely, the theorem says that for a variety X embedded in projective space and a hyperplane section Y, the homology, cohomology, and homotopy groups of X determine those of Y.".
- Lefschetz_hyperplane_theorem label "Lefschetz hyperplane theorem".
- Lefschetz_hyperplane_theorem seeAlso Lefschetz_manifold.
- Lefschetz_hyperplane_theorem sameAs Q6516731.
- Lefschetz_hyperplane_theorem sameAs Satz_von_Lefschetz_über_Hyperebenenschnitte.
- Lefschetz_hyperplane_theorem sameAs レフシェッツ超平面定理.
- Lefschetz_hyperplane_theorem sameAs 렙셰츠_초평면_정리.
- Lefschetz_hyperplane_theorem sameAs m.09dlx8.
- Lefschetz_hyperplane_theorem sameAs Lefschetzs_hyperplansats.
- Lefschetz_hyperplane_theorem sameAs Q6516731.
- Lefschetz_hyperplane_theorem wasDerivedFrom Lefschetz_hyperplane_theorem?oldid=705321747.
- Lefschetz_hyperplane_theorem isPrimaryTopicOf Lefschetz_hyperplane_theorem.