Timeline for Intersection product of $\mathbb{Q}$-Cartier divisors with irreducible complete curves is well-defined
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 18, 2023 at 13:47 | comment | added | Boris | Thank you very much for your insightful comments. | |
| Jan 17, 2023 at 4:16 | comment | added | Sasha | No, it doesn't need to be canceled. What is indeed crucial is that torsion elements of $\mathrm{Pic}(X)$ all have zero intersection products with curves. | |
| Jan 16, 2023 at 19:50 | comment | added | Boris | Thank you very much for your comments. I was thinking that the $l$ in the denominator for the definition of the intersection product needs to be cancelled by the intersection product $lD.C$ so that the resulting intersection product $D.C$ is well-defined. | |
| Jan 16, 2023 at 17:06 | review | Close votes | |||
| Jan 31, 2023 at 3:08 | |||||
| Jan 16, 2023 at 16:45 | comment | added | Sasha | Why do you expect a factor $l$? Note that this intersection pairing takes values in $\mathbb{Q}$. | |
| Jan 16, 2023 at 16:13 | history | asked | Boris | CC BY-SA 4.0 |