Du Val singularities

GPTKB entity

Statements (29)
Predicate Object
gptkbp:instanceOf gptkb:rational_double_point
surface singularity
gptkbp:alsoKnownAs simple surface singularities
ADE singularities
gptkbp:ariseIn gptkb:algebraic_geometry
singularity theory
gptkbp:characterizedBy minimal resolution with exceptional curves forming Dynkin diagrams of type A, D, or E
gptkbp:class gptkb:ADE_classification
gptkbp:example gptkb:E_8_singularity
gptkb:A_n_singularity
gptkb:D_n_singularity
gptkb:E_6_singularity
gptkb:E_7_singularity
gptkbp:heldBy gptkb:canonical_singularities
isolated singularities
quotient singularities
Gorenstein singularities
multiplicity 2
rational resolution
trivial dualizing sheaf
https://www.w3.org/2000/01/rdf-schema#label Du Val singularities
gptkbp:introducedIn 1934
gptkbp:namedAfter gptkb:Patrick_du_Val
gptkbp:occurOn complex surfaces
gptkbp:relatedTo gptkb:Kleinian_singularities
finite subgroups of SL(2,C)
gptkbp:studiedIn classification of algebraic surfaces
gptkbp:bfsParent gptkb:Kleinian_singularities
gptkbp:bfsLayer 7