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arXiv · 2012.00441

Algebraic approximation and the decomposition theorem for K\"ahler Calabi-Yau varieties

Benjamin Bakker·Henri Guenancia·Christian Lehn
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Abstract

We extend the decomposition theorem for numerically $K$-trivial varieties with log terminal singularities to the K\"ahler setting. Along the way we prove that all such varieties admit a strong locally trivial algebraic approximation, thus completing the numerically $K$-trivial case of a conjecture of Campana and Peternell.

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Benjamin Bakker, Henri Guenancia, Christian Lehn. 2020-12-01. Algebraic approximation and the decomposition theorem for K\"ahler Calabi-Yau varieties. https://arxiv.org/abs/2012.00441

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