Timeline for Self-intersection of divisors and Chern class
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Oct 20, 2017 at 5:44 | vote | accept | Ron | ||
| Oct 19, 2017 at 6:49 | history | edited | R. van Dobben de Bruyn | CC BY-SA 3.0 |
Extended (1) to the non-ample case.
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| Oct 18, 2017 at 23:44 | comment | added | R. van Dobben de Bruyn | Ah, I misread the question. You're absolutely right; this argument does not work when $Y$ is not ample. I will say some words about the more general situation (if someone else doesn't beat me to it). | |
| Oct 18, 2017 at 9:46 | comment | added | Sasha | Yes, for (1) one needs $Y$ to be an ample divisor in $X$. Otherwise, there is a simple counterexample --- take $X = Y \times P^{1}$, then the restriction of $O_X(Y)$ to $Y$ is trivial. | |
| Oct 18, 2017 at 6:51 | comment | added | Ron | Why is $Y$ a hyperplane section of $X$? If I understand you use this in the proof of $(1)$. | |
| Oct 18, 2017 at 5:57 | history | edited | R. van Dobben de Bruyn | CC BY-SA 3.0 |
Small mathemetical omission.
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| Oct 18, 2017 at 5:50 | history | edited | R. van Dobben de Bruyn | CC BY-SA 3.0 |
Minor formatting improvement.
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| Oct 18, 2017 at 5:45 | history | answered | R. van Dobben de Bruyn | CC BY-SA 3.0 |