Timeline for weak convergence of positive currents vs. $L^1$ convergence of normalized potentials
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| May 5, 2020 at 15:54 | vote | accept | Dima Sustretov | ||
| May 5, 2020 at 15:54 | comment | added | Dima Sustretov | I see; thanks very much, this is the ingredient I was not aware of! | |
| May 5, 2020 at 14:10 | comment | added | Henri | you can look e.g. at Demailly's book, Chapter I, Proposition 4.21 for the local version of the statement. For the global version, the observation is that there exists $C>0$ depending only on $X$ and $\theta$ such that for any $\theta$-psh function $\varphi$ on $X$ and $dV$ s.t. $\left| \sup_X \varphi - \int_X \varphi dV \right| \le C$. And this, in turn, follows from the existence of the Green kernel. | |
| May 5, 2020 at 13:18 | comment | added | Dima Sustretov | why is the set of $\varphi_n$ precomact in $L^1$? | |
| May 5, 2020 at 12:58 | history | edited | Henri | CC BY-SA 4.0 |
added 23 characters in body
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| May 5, 2020 at 12:21 | history | edited | Henri | CC BY-SA 4.0 |
Added side remark
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| May 5, 2020 at 12:15 | history | answered | Henri | CC BY-SA 4.0 |