K\"ahler forms for families of Calabi-Yau manifolds

Matthias Braun; Young-Jun Choi; Georg Schumacher

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arXiv · 1702.07886

K\"ahler forms for families of Calabi-Yau manifolds

Matthias Braun·Young-Jun Choi·Georg Schumacher

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Abstract

K\"ahler-Einstein metrics for polarized families of Calabi-Yau manifolds define a natural hermitian metric on the relative canonical bundle. The fact that the curvature form is equal to the pull-back of the Weil-Petersson form up to a numerical constant is being used for the construction of a K\"ahler form on the total space of a given family, whose restriction to the fibers is Ricci flat.

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Matthias Braun, Young-Jun Choi, Georg Schumacher. 2017-02-25. K\"ahler forms for families of Calabi-Yau manifolds. https://arxiv.org/abs/1702.07886

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