On Moderate Degenerations of Polarized Ricci-Flat Kähler Manifolds
Vol. 22 (2015), No. 1, Page 469–489.
Takayama, Shigeharu
On Moderate Degenerations of Polarized Ricci-Flat Kähler Manifolds
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Abstract:
We study degenerations of smooth projective varieties with trivial canonical bundle, and discuss equivalences that the finiteness of the Weil-Petersson distance, the uniform boundedness of diameters with respect to Kähler-Einstein metrics, and that the limit variety has canonical singularities at worst.
Keywords: Weil-Petersson metric, degeneration, canonical singularity, Calabi-Yau manifold, Ricci-flat.
Mathematics Subject Classification (2010): Primary 14D06, 14J32; Secondary 14E, 32G.
Mathematical Reviews Number: MR3329203
Received: 2014-03-10
