Kähler Forms for Families of Calabi–Yau Manifolds

  • Matthias Braun

    Philipps-Universität Marburg, Germany
  • Young-Jun Choi

    Pusan National University, Busan, Republic of Korea
  • Georg Schumacher

    Philipps-Universität Marburg, Germany
Kähler Forms for Families of Calabi–Yau Manifolds cover

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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