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- Picard–Lefschetz_theory abstract "In mathematics, Picard–Lefschetz theory studies the topology of a complex manifold by looking at the critical points of a holomorphic function on the manifold. It was introduced by Émile Picard for complex surfaces in his book Picard & Simart (1897), and extended to higher dimensions by Lefschetz (1924). It is a complex analog of Morse theory that studies the topology of a real manifold by looking at the critical points of a real function. Deligne & Katz (1973) extended Picard–Lefschetz theory to varieties over more general fields, and Deligne used this generalization in his proof of the Weil conjectures.".
- Picard–Lefschetz_theory wikiPageExternalLink books?id=eqCyQgAACAAJ.
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- Picard–Lefschetz_theory wikiPageExternalLink 0040-9383(81)90013-6.
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- Picard–Lefschetz_theory wikiPageRevisionID "660872186".
- Picard–Lefschetz_theory wikiPageWikiLink American_Mathematical_Society.
- Picard–Lefschetz_theory wikiPageWikiLink Category:Algebraic_geometry.
- Picard–Lefschetz_theory wikiPageWikiLink Complex_manifold.
- Picard–Lefschetz_theory wikiPageWikiLink Critical_point_(mathematics).
- Picard–Lefschetz_theory wikiPageWikiLink Fundamental_group.
- Picard–Lefschetz_theory wikiPageWikiLink Holomorphic_function.
- Picard–Lefschetz_theory wikiPageWikiLink Manifold.
- Picard–Lefschetz_theory wikiPageWikiLink Monodromy.
- Picard–Lefschetz_theory wikiPageWikiLink Morse_theory.
- Picard–Lefschetz_theory wikiPageWikiLink Springer-Verlag.
- Picard–Lefschetz_theory wikiPageWikiLink Springer_Science+Business_Media.
- Picard–Lefschetz_theory wikiPageWikiLink Topology_(journal).
- Picard–Lefschetz_theory wikiPageWikiLink Vanishing_cycle.
- Picard–Lefschetz_theory wikiPageWikiLink Weil_conjectures.
- Picard–Lefschetz_theory wikiPageWikiLink Émile_Picard.
- Picard–Lefschetz_theory wikiPageWikiLinkText "Picard–Lefschetz formula".
- Picard–Lefschetz_theory wikiPageWikiLinkText "Picard–Lefschetz theory".
- Picard–Lefschetz_theory hasPhotoCollection Picard–Lefschetz_theory.
- Picard–Lefschetz_theory wikiPageUsesTemplate Template:Citation.
- Picard–Lefschetz_theory wikiPageUsesTemplate Template:Harvs.
- Picard–Lefschetz_theory wikiPageUsesTemplate Template:Harvtxt.
- Picard–Lefschetz_theory subject Category:Algebraic_geometry.
- Picard–Lefschetz_theory comment "In mathematics, Picard–Lefschetz theory studies the topology of a complex manifold by looking at the critical points of a holomorphic function on the manifold. It was introduced by Émile Picard for complex surfaces in his book Picard & Simart (1897), and extended to higher dimensions by Lefschetz (1924). It is a complex analog of Morse theory that studies the topology of a real manifold by looking at the critical points of a real function.".
- Picard–Lefschetz_theory label "Picard–Lefschetz theory".
- Picard–Lefschetz_theory sameAs ピカール・レフシェッツ理論.
- Picard–Lefschetz_theory sameAs 피카르-렙셰츠_이론.
- Picard–Lefschetz_theory sameAs m.0j3f5x5.
- Picard–Lefschetz_theory sameAs Q7190517.
- Picard–Lefschetz_theory sameAs Q7190517.
- Picard–Lefschetz_theory wasDerivedFrom Picard–Lefschetz_theory?oldid=660872186.
- Picard–Lefschetz_theory isPrimaryTopicOf Picard–Lefschetz_theory.