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arXiv · 1309.3773

Triviality of fibered Calabi-Yau manifolds without singular fibers

Valentino Tosatti·Yuguang Zhang
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Abstract

In this note we show that if a compact Kahler manifold with trivial canonical bundle is the total space of a holomorphic fibration without singular fibers, then the fibration is a holomorphic fiber bundle. In the algebraic case, the fibration becomes trivial after a finite base change.

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Valentino Tosatti, Yuguang Zhang. 2013-09-15. Triviality of fibered Calabi-Yau manifolds without singular fibers. https://doi.org/10.4310/mrl.2014.v21.n4.a15

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