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S. Kebekus - Varieties with vanishing first Chern classComplex analytic and differential geometry 2017


Description : We investigate the holonomy group of singular Kähler-Einstein metrics on klt varieties with numerically trivial canonical divisor. Finiteness of the number of connected components, a Bochner principle for holomorphic tensors, and a connection between irreductibility of holonomy representations and stability of the tangent sheaf are established. As a consequence, we show that up to finite quasi-étale covers, varieties with strongly stable tangent sheaf are either Calabi-Yau (CY) or irreducible holomorphic symplectic (IHS). Finally, finiteness properties of fundamental groups of CY and IHS varieties are established.
Contributeur : Fanny Bastien <>
Soumis le : jeudi 12 octobre 2017 - 14:30:50
Dernière modification le : samedi 14 octobre 2017 - 01:05:00