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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.
- Du_Val_singularity wikiPageExternalLink ?q=an:0010.17603.
- Du_Val_singularity wikiPageExternalLink ?q=an:0010.17701.
- Du_Val_singularity wikiPageID "22921783".
- Du_Val_singularity wikiPageRevisionID "594856338".
- 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 year "1934".
- Du_Val_singularity subject Category:Algebraic_surfaces.
- Du_Val_singularity subject Category:Singularity_theory.
- Du_Val_singularity type AlgebraicSurfaces.
- Du_Val_singularity type Artifact100021939.
- Du_Val_singularity type Object100002684.
- Du_Val_singularity type PhysicalEntity100001930.
- Du_Val_singularity type Surface104362025.
- Du_Val_singularity type Whole100003553.
- 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.
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- Du_Val_singularity sameAs Q5310086.
- Du_Val_singularity sameAs Q5310086.
- Du_Val_singularity sameAs Du_Val_singularity.
- 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.