Timeline for Bertini's theorem at a fixed point
Current License: CC BY-SA 4.0
4 events
when toggle format | what | by | license | comment | |
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Dec 5 at 14:27 | comment | added | LSpice | Re, don't forget that you can (and probably should) post an answer to your own question. | |
Dec 5 at 14:27 | history | edited | LSpice | CC BY-SA 4.0 |
Proofreading; deleted "Thank you"
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Dec 5 at 9:57 | comment | added | MATHQI | Oh, I think I know how to do. Consider the projection $ \mathbb{CP}^n\setminus f^{-1}(P)\to \mathbb{CP}^{n}\setminus P \to \mathbb{CP}^{n-1}$. Every point of $\mathbb{CP}^{n-1}$ corresponds with a complex straight line passing through $P$. Use Kleiman's result (Hartshorne chapter 3 Theorem 10.8) for $ f: pt \to \mathbb{CP}^{n-1}$ and $g: CP^{n}\setminus f^{-1}(P) \to \mathbb{CP}^{n-1}$. | |
Dec 5 at 8:21 | history | asked | MATHQI | CC BY-SA 4.0 |