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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 1028998225.
- Lefschetz_hyperplane_theorem wikiPageExternalLink hodge-str.pdf.
- Lefschetz_hyperplane_theorem wikiPageExternalLink item?id=PMIHES_1980__52__137_0.
- Lefschetz_hyperplane_theorem wikiPageID "3459657".
- Lefschetz_hyperplane_theorem wikiPageRevisionID "605379369".
- Lefschetz_hyperplane_theorem hasPhotoCollection Lefschetz_hyperplane_theorem.
- 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 type Ability105616246.
- Lefschetz_hyperplane_theorem type Abstraction100002137.
- Lefschetz_hyperplane_theorem type Cognition100023271.
- Lefschetz_hyperplane_theorem type Communication100033020.
- Lefschetz_hyperplane_theorem type Know-how105616786.
- Lefschetz_hyperplane_theorem type Message106598915.
- Lefschetz_hyperplane_theorem type Method105660268.
- Lefschetz_hyperplane_theorem type Proposition106750804.
- Lefschetz_hyperplane_theorem type PsychologicalFeature100023100.
- Lefschetz_hyperplane_theorem type Statement106722453.
- Lefschetz_hyperplane_theorem type Theorem106752293.
- Lefschetz_hyperplane_theorem type TheoremsInAlgebraicGeometry.
- Lefschetz_hyperplane_theorem type TheoremsInAlgebraicTopology.
- Lefschetz_hyperplane_theorem type TheoremsInTopology.
- Lefschetz_hyperplane_theorem type TopologicalMethodsOfAlgebraicGeometry.
- 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 label "Satz von Lefschetz über Hyperebenenschnitte".
- Lefschetz_hyperplane_theorem label "レフシェッツ超平面定理".
- 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 m.09dlx8.
- Lefschetz_hyperplane_theorem sameAs Q6516731.
- Lefschetz_hyperplane_theorem sameAs Q6516731.
- Lefschetz_hyperplane_theorem sameAs Lefschetz_hyperplane_theorem.
- Lefschetz_hyperplane_theorem wasDerivedFrom Lefschetz_hyperplane_theorem?oldid=605379369.
- Lefschetz_hyperplane_theorem isPrimaryTopicOf Lefschetz_hyperplane_theorem.