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Results tagged with torus-action
Search options questions only
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user 66
8
votes
1
answer
1k
views
Understanding the unreducedness of a subscheme supported on fixed points
EDIT: Based on comments, I've decided to essentially rewrite this question. My apologies to those who commented below, whose comments seem a bit off topic when you try to match them with the current …
- 44.7k
5
votes
1
answer
598
views
Under what hypotheses are schematic fixed points of a flat deformation themselves flat?
This is something of a follow-up question to this one; I hope people won't think this is a duplicate. At least in my head, it seems like a distinct enough question to merit a fresh start.
All my sch …
- 44.7k
4
votes
2
answers
607
views
Are schematic fixed-points of a Cohen-Macaulay scheme Cohen-Macaulay?
I'm not sure how long this iterative questions can go on, but let me try again. Let's say $X$ is a Cohen-Macaulay scheme with an action of $\mathbb{G}_m$ (i.e. if $X$ is affine, a grading on the coor …
- 44.7k
2
votes
0
answers
361
views
Are schematic fixed points of a torus action on an affinized twistor deformation flat?
This is a follow-up to some earlier questions about flatness of schematic fixed points of certain deformations. Since I could never come up with good enough hypotheses in those examples, let me try a …
- 44.7k