Timeline for Deformation invariance of Fano varieties
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Apr 24, 2017 at 16:01 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
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| Apr 7, 2017 at 13:20 | vote | accept | Chen | ||
| Apr 7, 2017 at 13:16 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
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| Apr 7, 2017 at 13:12 | answer | added | Francesco Polizzi | timeline score: 16 | |
| Apr 7, 2017 at 13:05 | comment | added | Chen | @gbp , potentiallydense, thank you. I have edited the question. | |
| Apr 7, 2017 at 13:04 | history | edited | Chen | CC BY-SA 3.0 |
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| Apr 7, 2017 at 13:02 | comment | added | byu | To add to what @potentially dense was saying: Take $X_t$ to be a family of blow-ups of $P^2$ in three points for instance. For a general choice of three points, this is Del Pezzo, but it is not when the points are colinear. In general you get that there is a nbh where $X_t$ is Fano. This follows because ampleness of -K is an open property in families. | |
| Apr 7, 2017 at 13:02 | comment | added | Chen | @potentiallydense Thanks. Could you give a reference for your second statement. | |
| Apr 7, 2017 at 12:56 | comment | added | Lazzaro Campeotti | It is definitely asking too much for this to hold for all $t \in C$. Even if $f$ is smooth, this will typically only hold for $t$ near 0. | |
| Apr 7, 2017 at 12:51 | history | asked | Chen | CC BY-SA 3.0 |