We prove that the pull back of an ample line bundle by an almost holomorphic Lagrangian fibration is nef. As an application, we show birational semi rigidity of Lagrangian fibrations.
Okounkov bodies for ample line bundles with applications to multiplicities for group representations
Adjunction for varieties with $\mathbb{C}^*$ action
Ample line bundles, global generation and $K_0$ on quasi-projective derived schemes
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