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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
2
votes
Resolving ADE singularities by blowing up
We can use inkspot's key observation that the curves appearing in the first blowup are exactly the ones having negative intersection with the fundamental cycle. Let $[\rho_i]$ be the exceptional curv …
9
votes
2
answers
2k
views
Resolving ADE singularities by blowing up
Let's say we have a finite subgroup $\Gamma \subseteq SL(2,\mathbb{C})$ and consider the quotient variety $\mathbb{C}^2/\Gamma$, which will have one of the well-known ADE or du Val surface singulariti …