Remarks on the collapsing of torus fibered Calabi-Yau manifolds

Hans Joachim Hein; Valentino Tosatti

doi:10.1112/blms/bdv067

Remarks on the collapsing of torus fibered Calabi-Yau manifolds

Hans Joachim Hein, Valentino Tosatti

Mathematics

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

Abstract

One of the main results of a recent paper by Gross-Tosatti-Zhang establishes estimates on the collapsing of Ricci-flat Kähler metrics on holomorphic torus fibrations. We remove a projectivity assumption from these estimates and simplify some of the underlying analysis.

Original language	English (US)
Pages (from-to)	1021-1027
Number of pages	7
Journal	Bulletin of the London Mathematical Society
Volume	47
Issue number	6
DOIs	https://doi.org/10.1112/blms/bdv067
State	Published - Feb 23 2015

ASJC Scopus subject areas

General Mathematics

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abstract = "One of the main results of a recent paper by Gross-Tosatti-Zhang establishes estimates on the collapsing of Ricci-flat K{\"a}hler metrics on holomorphic torus fibrations. We remove a projectivity assumption from these estimates and simplify some of the underlying analysis.",

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Remarks on the collapsing of torus fibered Calabi-Yau manifolds

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