Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties.
Uniqueness of crepant resolutions and symplectic singularities
We prove the uniqueness of crepant resolutions for some quotient singularities and for some nilpotent orbits. The finiteness of non-isomorphic symplectic resolutions for 4- dimensional symplectic singularities is proved. We also give an example of a symplectic singularity which admits two non-equivalent symplectic resolutions.
Global smoothing of Calabi-Yau threefolds.
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