Timeline for Dimension of a linear system of divisors on singular curve
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| May 19, 2020 at 1:23 | comment | added | user267839 | You are right, the terminology "linear system" isn't common on singular curves, do you have an idea what Kollar there had mind? | |
| May 19, 2020 at 1:22 | comment | added | user267839 | The question arised from a proof in Janos Kollar's "Lectures on Resolution of Singularities" (page 39). The proof is also quoted literally here: mathoverflow.net/questions/358245/… The point was that he started with a certain linear system on $\mathbb{P}^2$, then pulled it back to $C$ and obtained in a way I explaned above (by throwing away singular points with certain multiplicity from the pullbacks) "linear system"(at least he called it so) on $C$ of residuals. | |
| May 18, 2020 at 18:21 | history | edited | YCor | CC BY-SA 4.0 |
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| May 18, 2020 at 17:11 | comment | added | abx | What do you call a linear system on a singular curve? $L'$ is not a Cartier divisor. | |
| May 18, 2020 at 16:13 | history | asked | user267839 | CC BY-SA 4.0 |