Timeline for Two definitions of Calabi-Yau manifolds
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
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| Jul 29, 2017 at 23:46 | comment | added | user21574 | As additional comment: Let $X$ be a projective manifold such that $−K_X$ is nef. Then there exists a locally trivial fibration $X → Y$ such that the fibre $X_y$ is rationally connected and $K_{X_y} ≡ 0$. See arxiv.org/pdf/1706.08814.pdf | |
| Apr 18, 2012 at 22:12 | comment | added | YangMills | "Now, by adjunction formula, you prove that the canonical bundle of the total space is trivial, if it is trivial for the base and the fiber.": how do you show this fact? I think there is a counterexample to this statement where you have a compact holomorphic fiber bundle $F\subset X\to B$ with $B, F$ Kahler with trivial canonical bundle, yet $X$ doesn't have torsion canonical bundle (but $X$ is not Kahler). | |
| Feb 25, 2010 at 0:48 | comment | added | José Figueroa-O'Farrill | Hey, that's unfair! The theorem is in Russian! :) | |
| Feb 14, 2010 at 14:19 | vote | accept | Evan Wright | ||
| Feb 11, 2010 at 23:39 | history | edited | Misha Verbitsky | CC BY-SA 2.5 |
Bogomolov's result clarified
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| Feb 11, 2010 at 23:35 | comment | added | Dmitri Panov | Misha, what about Theorem 3' from mathnet.ru/php/… of have I misunderstood it? | |
| Feb 11, 2010 at 23:25 | history | answered | Misha Verbitsky | CC BY-SA 2.5 |