Timeline for Discrepancy of a divisor over a different model
Current License: CC BY-SA 4.0
7 events
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| Sep 9, 2022 at 5:17 | comment | added | Dori Bejleri | You need to take the strict transform of $F$ on the new model as $F$ should be a prime divisor. Since any two models containing $F$ are isomorphic at the generic point of $F$, the discrepency is the same. | |
| Sep 8, 2022 at 22:03 | history | edited | Hydrogen | CC BY-SA 4.0 |
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| Sep 8, 2022 at 22:03 | comment | added | Hydrogen | @DoriBejleri If we blow up $Z$ and pullback $F$ to the new model, does that change the discrepancy? Could we say discrepancy is a birational invariant? | |
| Sep 8, 2022 at 16:43 | history | edited | YCor | CC BY-SA 4.0 |
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| Sep 8, 2022 at 16:37 | comment | added | Dori Bejleri | You can always further blow up $Z$ to get a model with $F$ on it that factors through $Y$. The point is that the discrepancy is independent of the choice of model containing $F$. | |
| Sep 8, 2022 at 16:20 | history | edited | YCor | CC BY-SA 4.0 |
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| Sep 8, 2022 at 16:18 | history | asked | Hydrogen | CC BY-SA 4.0 |