Timeline for Cell decomposition for a variety not necessarily complete?
Current License: CC BY-SA 3.0
3 events
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| Apr 6, 2012 at 4:30 | comment | added | Allen Knutson | This happens a bunch. One sufficient condition is that the induced action on $X_{aff}$ (the $Spec$ of the ring of global functions on $X$) makes $X_{aff}$ into a cone, with one ${\mathbb C}^\times$-fixed point that everybody falls into, plus the assumption that $X_{aff} \to X$ is proper. For example, let $X_{aff}$ be the Chow variety of $n$ points in the plane, let ${\mathbb C}^\times$ act on the plane with two weights $a,b>0$ (say much larger than $n$ and coprime), and $X$ itself be the Hilbert scheme of $n$ points in the plane. | |
| Apr 6, 2012 at 4:26 | history | edited | Allen Knutson | CC BY-SA 3.0 |
added 102 characters in body
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| Apr 6, 2012 at 0:28 | history | answered | Jim Bryan | CC BY-SA 3.0 |