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Results tagged with ag.algebraic-geometry
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user 33946
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
2
votes
Accepted
What is the Zariski closure of a locally closed set, when "locally" means the Euclidean topo...
This answer is distilled from the comments by Jérémy Blanc, François Brunault and xuhan.
The guess that $X$ is the Zariski closure of $X \cap U$, if the latter is nonempty, is false in general. As a …
- 151
3
votes
1
answer
3k
views
What is the Zariski closure of a locally closed set, when "locally" means the Euclidean topo...
Let $X \subseteq \mathbf{R}^n$ be Zariski closed and absolutely irreducible, and let $U \subseteq \mathbf{R}^n$ be Euclidean open. My guess is that $X$ is the Zariski closure of $X \cap U$, if the lat …
- 151