# Nonexistence of asymptotic GIT compactification

@article{Wang2014NonexistenceOA, title={Nonexistence of asymptotic GIT compactification}, author={Xiaowei Wang and Xu Chen}, journal={Duke Mathematical Journal}, year={2014}, volume={163}, pages={2217-2241} }

We provide examples of families of (log) smooth canonically polarized varieties, including smooth weighted pointed curves and smooth hypersurfaces in $P^3$ with large degree such that the Chow semistable limits under distinct pluricanonical embeddings do not stabilize.

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