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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

7 votes
0 answers
361 views

Equivariant Hilbert schemes of points

Let $G$ be a finite subgroup of $\mathrm{SL}(2, \mathbb{C})$ and let $X$ be the quotient surface $X = \mathrm{Spec}(\mathbb{C}[x, y]^{G})$. Denote by $\mathrm{Hilb}^r([X])$ the equivariant Hilbert sch …
5 votes
1 answer
351 views

Base change and the octahedron axiom

I am trying to understand "de Cataldo, Migliorini. The perverse filtration and the Lefschetz hyperplane theorem. Annals of Mathematics, 171(2010), 2089-2113." My question is about one detail in the pa …
2 votes
0 answers
208 views

Representations, ADE singularities

This sounds very classical, but it would be great if someone can point out a reference to me. Let $G \leq \mathrm{SL}(2, \mathbb{C})$ be a finite group with its natural action on $\mathbb{C}[x, y]$, …