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arXiv · 0907.5311

Zariski F-decomposition and Lagrangian fibration on hyperk\"ahler manifolds

Daisuke Matsushita·De-Qi Zhang
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Abstract

For a compact hyperk\"ahler manifold X, we show certain Zariski decomposition for every pseudo-effective R-divisor, and give a sufficient condition for X to be bimeromorphic to a (holomorphic) Lagrangian fibration. We also prove that any sequence of D-flops between projective hyperk\"ahler manifolds terminates after finite steps.

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Daisuke Matsushita, De-Qi Zhang. 2009-07-30. Zariski F-decomposition and Lagrangian fibration on hyperk\"ahler manifolds. https://arxiv.org/abs/0907.5311

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