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Results tagged with complete-intersection
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user 3521
5
votes
Accepted
If $X$ is an affine variety, is $X$ one component of a complete intersection with two?
Perhaps I'm wrong but I thought this was ok by Bertini.
Choose a general hypersurface $H_1$ containing $X$ (ie, choose a general linear combination of the generators of the ideal of $X$, make sure …
- 20.5k
3
votes
Accepted
Irreducible components of reduced complete intersection
As long as $Z$ is projective or quasi-projective over say $k = \mathbb{C}$, this is fine. This can be generalized, but let me keep it simple for now.
The quasi-projective case reduces to the project …
- 20.5k