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Questions about Kähler manifolds and Kähler metrics.
5
votes
Accepted
question about kahler cone of a compact kahler manifold
Here is another try:
WLOG, we assume $\alpha$ is kahler, fix it as a metric on $M$.
Assume $\alpha+t\beta$ is kahler for every $t$. So
$\int(\alpha+t\beta)\wedge \alpha^{n-1}=\int
\alpha^n+t\int\beta …
13
votes
5
answers
3k
views
Structure of Kähler cone
Are there examples of Kähler manifolds whose Kähler cone can be described explicitly, say spanned by certain cohomology classes? As far as I know, Hirzebruch Surface has a complete description for it …