Timeline for Deform a divisor from a fiber in a fibration
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Dec 10, 2023 at 16:44 | comment | added | R. van Dobben de Bruyn | There is no easy criterion. You need to know that $H^0(X,\mathscr L) \to H^0(X_0,\mathscr L|_{X_0})$ is surjective for every line bundle $\mathscr L$ on $X$. Without any hypothesis on $\mathscr L$, it seems pointless to try to obtain this surjectivity from vanishing theorems. | |
| Dec 10, 2023 at 4:09 | comment | added | Junpeng Jiao | Thank you for your kind reply! May I ask under what circumstances does the statement about effective divisors hold? | |
| Dec 8, 2023 at 13:38 | history | edited | R. van Dobben de Bruyn | CC BY-SA 4.0 |
Completed the answer to address both questions.
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| Dec 8, 2023 at 13:14 | history | edited | R. van Dobben de Bruyn | CC BY-SA 4.0 |
Fixed a mistake.
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| Dec 8, 2023 at 13:07 | history | answered | R. van Dobben de Bruyn | CC BY-SA 4.0 |