Triviality of fibered Calabi-Yau manifolds without singular fibers

Valentino Tosatti; Yuguang Zhang

doi:10.4310/MRL.2014.v21.n4.a15

Triviality of fibered Calabi-Yau manifolds without singular fibers

Valentino Tosatti, Yuguang Zhang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	905-918
Number of pages	14
Journal	Mathematical Research Letters
Volume	21
Issue number	4
DOIs	https://doi.org/10.4310/MRL.2014.v21.n4.a15
State	Published - 2014

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10.4310/MRL.2014.v21.n4.a15

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title = "Triviality of fibered Calabi-Yau manifolds without singular fibers",

abstract = "In this paper, we show that if a compact K{\"a}hler 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.",

author = "Valentino Tosatti and Yuguang Zhang",

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AB - 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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JO - Mathematical Research Letters

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Triviality of fibered Calabi-Yau manifolds without singular fibers

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