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May 19, 2022 at 3:45 review Close votes
May 26, 2022 at 3:03
May 18, 2022 at 22:30 comment added Donu Arapura You can compute the homology of a blow up as in pp 473-474 of Griffiths-Harris, and check that $H_1$ doesn't change.
May 18, 2022 at 22:15 comment added UserIn @Donu Arapura thank you for your answer. How to prove that the first Betti number preserves? Is it truth in general case for any compact complex manifold or not?
May 18, 2022 at 22:12 comment added Marco Golla It cannot even be symplectic, since there's no class in $H^2$ that has positive square.
May 18, 2022 at 22:08 comment added Donu Arapura If you blow up a Hopf surface at a point, the first Betti number is still one. So it can't be Kähler.
S May 18, 2022 at 21:48 review First questions
May 19, 2022 at 0:41
S May 18, 2022 at 21:48 history asked UserIn CC BY-SA 4.0