I know this might be a stupid question but while I am reading several lecture notes.I am wondering are Du Val Singularities and ADE singularities the same thing? And what is the best book to read if I want to know more about singularity theory?
2026-03-25 20:41:12.1774471272
Du Val Singularities and ADE singularities
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There are several names that are being used:
Du Val singularities, singularities of type ADE, rational double points, simple surface singularities, ...
and they all refer to the isolated surface singularities that are classified by the Dynkin diagrams of type $A_n$, $D_n$, $E_6$, $E_7$ and $E_8$ as far as I know.
There are some nice introductory notes by Miles Reid and some other good notes by Benjamin Friedrich, but also this article by Michael Artin is one of the standard ressources as far as I know. The article 15 Characterizations of rational double points by Alan Durfee also always sounded promising to me, but I have never looked into it myself.