Timeline for On the Beilinson's conjecture regarding the proper flat integral models
Current License: CC BY-SA 4.0
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Jun 3, 2019 at 6:47 | comment | added | naf | $\pi$ and $\pi'$ will almost never be flat (since the maps are birational). Also, the conjecture is now known to be false! Explicit counterexamples were given by Rob de Jeu. | |
Jun 3, 2019 at 5:17 | comment | added | user127776 | My assumption was to replace the proper regular with proper flat and all $K$ with $K'$ and repeat the same argument. In order the pullback to make sense in $K'$-theory the morphism needs to be flat. So $\pi$ has to be flat. I thought it is clear but right now I can't figure it out, probably that's the problem. I'm not even sure whether proper flatness of $\mathcal{X}$ and $\mathcal{X}'$ implies the flatness of $\mathcal{X}''$ | |
Jun 3, 2019 at 2:26 | history | asked | user127776 | CC BY-SA 4.0 |