Valentino Tosatti, Yuguang Zhang
Abstract
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In this paper, we show that if a compact Kähler 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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In this paper, we show that if a compact Kähler 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.
Key concepts: Fibration, Mathematics, Fibered knot, Pure mathematics, Triviality, Canonical bundle, Calabi–Yau manifold, Holomorphic function