Kähler Forms for Families of Calabi–Yau Manifolds
Matthias Braun
Philipps-Universität Marburg, GermanyYoung-Jun Choi
Pusan National University, Busan, Republic of KoreaGeorg Schumacher
Philipps-Universität Marburg, Germany
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Abstract
Kähler–Einstein metrics for polarized families of Calabi–Yau manifolds define a natural hermitian metric on the relative canonical bundle . The computation of the curvature form being equal to the pullback of the Weil–Petersson form up to a numerical constant is used for the construction of a Kähler–Einstein form on , whose restriction to the fibers is Ricci flat.
Cite this article
Matthias Braun, Young-Jun Choi, Georg Schumacher, Kähler Forms for Families of Calabi–Yau Manifolds. Publ. Res. Inst. Math. Sci. 56 (2020), no. 1, pp. 1–13
DOI 10.4171/PRIMS/56-1-1