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- Du_Val_singularity abstract "In algebraic geometry, a du Val singularity, also called simple surface singularity, Kleinian singularity, or rational double point, is an isolated singularity of a complex surface which is modeled on a double branched cover of the plane, with minimal resolution obtained by replacing the singular point with a tree of smooth rational curves, with intersection pattern dual to a Dynkin diagram of A-D-E singularity type. They are the canonical singularities (or, equivalently, rational Gorenstein singularities) in dimension 2. They were studied by Patrick du Val (1934a, 1934b, 1934c) and Felix Klein.The du Val singularities also appear as quotients of C2 by a finite subgroup of SL2(C); equivalently, a finite subgroup of SU(2), which are known as binary polyhedral groups. The rings of invariant polynomials of these finite group actions were computed by Klein, and are essentially the coordinate rings of the singularities; this is a classic result in invariant theory.".
- Du_Val_singularity thumbnail Simply_Laced_Dynkin_Diagrams.svg?width=300.
- Du_Val_singularity wikiPageExternalLink view?rid=ensmat-001:1979:25::300.
- Du_Val_singularity wikiPageExternalLink singul.pdf.
- Du_Val_singularity wikiPageExternalLink DuVal.pdf.
- Du_Val_singularity wikiPageExternalLink ?q=an:0010.17602.
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- Du_Val_singularity wikiPageExternalLink ?q=an:0010.17701.
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- Du_Val_singularity wikiPageRevisionID "594856338".
- Du_Val_singularity wikiPageWikiLink ADE_classification.
- Du_Val_singularity wikiPageWikiLink Algebraic_geometry.
- Du_Val_singularity wikiPageWikiLink American_Journal_of_Mathematics.
- Du_Val_singularity wikiPageWikiLink Binary_polyhedral_group.
- Du_Val_singularity wikiPageWikiLink Brieskorn–Grothendieck_resolution.
- Du_Val_singularity wikiPageWikiLink Canonical_singularities.
- Du_Val_singularity wikiPageWikiLink Canonical_singularity.
- Du_Val_singularity wikiPageWikiLink Category:Algebraic_surfaces.
- Du_Val_singularity wikiPageWikiLink Category:Singularity_theory.
- Du_Val_singularity wikiPageWikiLink Felix_Klein.
- Du_Val_singularity wikiPageWikiLink Invariant_polynomial.
- Du_Val_singularity wikiPageWikiLink Invariant_theory.
- Du_Val_singularity wikiPageWikiLink Möbius_transformation.
- Du_Val_singularity wikiPageWikiLink Point_groups_in_three_dimensions.
- Du_Val_singularity wikiPageWikiLink SL2(C).
- Du_Val_singularity wikiPageWikiLink File:Simply_Laced_Dynkin_Diagrams.svg.
- Du_Val_singularity wikiPageWikiLinkText "Du Val singularity".
- Du_Val_singularity wikiPageWikiLinkText "du Val singularities".
- Du_Val_singularity wikiPageWikiLinkText "du Val singularity".
- Du_Val_singularity authorlink "Patrick du Val".
- Du_Val_singularity first "Patrick".
- Du_Val_singularity hasPhotoCollection Du_Val_singularity.
- Du_Val_singularity last "du Val".
- Du_Val_singularity wikiPageUsesTemplate Template:Citation.
- Du_Val_singularity wikiPageUsesTemplate Template:Harvs.
- Du_Val_singularity wikiPageUsesTemplate Template:Lowercase.
- Du_Val_singularity year "1934".
- Du_Val_singularity subject Category:Algebraic_surfaces.
- Du_Val_singularity subject Category:Singularity_theory.
- Du_Val_singularity hypernym Singularity.
- Du_Val_singularity type Surface.
- Du_Val_singularity type Variety.
- Du_Val_singularity comment "In algebraic geometry, a du Val singularity, also called simple surface singularity, Kleinian singularity, or rational double point, is an isolated singularity of a complex surface which is modeled on a double branched cover of the plane, with minimal resolution obtained by replacing the singular point with a tree of smooth rational curves, with intersection pattern dual to a Dynkin diagram of A-D-E singularity type.".
- Du_Val_singularity label "Du Val singularity".
- Du_Val_singularity sameAs 뒤발_특이점.
- Du_Val_singularity sameAs m.0642yk3.
- Du_Val_singularity sameAs Q5310086.
- Du_Val_singularity sameAs Q5310086.
- Du_Val_singularity wasDerivedFrom Du_Val_singularity?oldid=594856338.
- Du_Val_singularity depiction Simply_Laced_Dynkin_Diagrams.svg.
- Du_Val_singularity isPrimaryTopicOf Du_Val_singularity.