Again, I know how to prove the statement. But, I cannot find any example. Please help me for finding an example. Thank you:)
2026-03-29 16:31:31.1774801891
Example: Irreducible component - affine varieties
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If $n=2$, take for $X$ the circle $x^2+y^2=1$, for $H$ the "hypersurface" $y=0$ ( a good old line!) and then $X\cap H$ consists of the two irreducible components (=points) $\{(-1,0)\}$ and $\{(1,0)\}$.