Timeline for Comparison of Kodaira dimensions in semistable degenerations
Current License: CC BY-SA 4.0
7 events
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Dec 10, 2018 at 19:19 | history | edited | Mohammad Farajzadeh-Tehrani | CC BY-SA 4.0 |
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Dec 10, 2018 at 18:58 | history | edited | Mohammad Farajzadeh-Tehrani | CC BY-SA 4.0 |
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Dec 10, 2018 at 18:40 | history | edited | Mohammad Farajzadeh-Tehrani | CC BY-SA 4.0 |
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Dec 10, 2018 at 18:29 | history | edited | Mohammad Farajzadeh-Tehrani | CC BY-SA 4.0 |
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Dec 10, 2018 at 18:28 | comment | added | Mohammad Farajzadeh-Tehrani | Definitely, I forgot to write that, thats what I meant by trivial situations in that example. Nice to hear from you Jason. | |
Dec 10, 2018 at 18:26 | comment | added | Jason Starr | Greetings Mohammad! I think you need to add some minimality / ampleness condition. If you take an arbitrary $Z$ over $\Delta$, if you blow up a smooth point of the central fiber, then you produce a new irreducible component -- the exceptional divisor. With your definition, that pair is $(\mathbb{P}^n,\mathbb{P}^{n-1})$, and this does not have log Kodaira dimension $0$. | |
Dec 10, 2018 at 18:23 | history | asked | Mohammad Farajzadeh-Tehrani | CC BY-SA 4.0 |