Let $X$ and $Y$ be two bimeromorphic closed Kaehler manifolds with trivial real $c_1$. Is it true that $b_n(X)=b_n(Y)$ for $n\geq 0$?
9
$\begingroup$
$\endgroup$
-
2$\begingroup$ Welcome, new contributor. One of my colleagues points out that for hyperKaehler manifolds, this result is true regardless of algebraicity, since then the manifolds are even deformation equivalent. $\endgroup$ – Jason Starr Dec 16 '18 at 14:52
