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Timeline for Quiver varieties associated to D_4

Current License: CC BY-SA 4.0

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Feb 21, 2022 at 15:12 vote accept Tommaso Scognamiglio
Nov 9, 2021 at 11:24 comment added Balazs ...finally indeed $X$ and $Y_t$ for $t\neq 0$ are diffeomorphic, in fact algebraic deformation equivalent, as they sit in the Grothendieck resolution family.
Nov 9, 2021 at 11:23 comment added Balazs Perhaps just to extend on this a little bit, as the OP asked for "explicit geometric presentation": the singularity $Y=\mathfrak M_{0,0}(\mathbf v) =\mathbb C^2/\Gamma$ is affine, and well known to be a hypersurface in ${\mathbb A}^3$ given by an explicit equation; its deformation $Y_t = \mathfrak M_{0,\zeta_{\mathbb C}}(\mathbf v)$ is still affine, and is given by a generic deformation of the equation of the hypersurface; the minimal resolution $X = \mathfrak M_{\zeta_{\mathbb R},0}(\mathbf v)$ of $Y$ is not affine of course but is a composite of blowups of $Y=Y_0$...
Oct 10, 2021 at 8:24 history answered Hiraku Nakajima CC BY-SA 4.0