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Results tagged with gn.general-topology
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user 4790
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
9
votes
Bialynicki-Birula decomposition of a non-singular quasi-projective scheme.
Every normal variety with an action of a torus is covered by invariant affine open subsets. This is proved in Hideyasu Sumihiro, Equivariant completion, J. Math. Kyoto Univ. 14 (1974), 1–28.
- 27k
3
votes
Accepted
Relation on the set of connected components of the $\mathbb{C^*}$-fixed points locus coming ...
If $X$ is projective, the Bialynicki-Birula decomposition is filterable; this means that there is a filtration $Z_1 \subseteq Z_2 \subseteq \cdots \subseteq Z_r = X$ by closed subsets, such each diffe …
- 27k
8
votes
Accepted
Automorphism groups and etale topological stacks
I don't think this is true. Let $X$ be the quotient of the action of $\mathbb Q$ on $\mathbb R$ by translation. This is a sheaf, and its automorphism groups are trivial. Suppose that there exist a loc …
- 27k