 Kähler cone (source code)

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= Kähler cone
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{title2=$\mathcal K_M$}

The Kähler cone of a compact <Kähler manifold> is the open cone of real $(1,1)$ cohomology classes represented by positive closed $(1,1)$ forms. If every real degree-two cohomology class has type $(1,1)$, density of rational classes supplies a rational Kähler class. An integral multiple is the <First Chern class> of a positive <holomorphic line bundle>, and the <Kodaira embedding theorem> implies projectivity.

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