Timeline for Irreducible components: associativity for intersections?
Current License: CC BY-SA 4.0
9 events
when toggle format | what | by | license | comment | |
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Dec 20, 2020 at 12:37 | comment | added | D. Dona | It just occurred to me that the same works even in $\mathbb{A}^{3}$, forgetting about the $w$ coordinate. In that case the counterexample is truly "minimal", since $\mathbb{A}^{2}$ doesn't have enough room to house a counterexample. | |
Dec 15, 2020 at 10:15 | vote | accept | H A Helfgott | ||
Dec 15, 2020 at 9:44 | history | edited | pinaki | CC BY-SA 4.0 |
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Dec 15, 2020 at 3:14 | history | edited | pinaki | CC BY-SA 4.0 |
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Dec 14, 2020 at 23:41 | comment | added | pinaki | @HAHelfgott: I missed the requirement for irreducibility - now updated the answer. | |
Dec 14, 2020 at 23:38 | history | edited | pinaki | CC BY-SA 4.0 |
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Dec 14, 2020 at 21:46 | comment | added | H A Helfgott | Moreover, $V$ can only be the origin or the $y$-axis, so it seems this isn't a counterexample at all - not even if (as in D. Dona's answer) the condition that $C$ be irreducible is dropped. | |
Dec 14, 2020 at 21:43 | comment | added | H A Helfgott | In this example, $C$ is reducible. | |
Dec 14, 2020 at 21:28 | history | answered | pinaki | CC BY-SA 4.0 |