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arXiv · 1212.0173

Nonexistence of asymptotic GIT compactification

Xiaowei Wang·Chenyang Xu
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Abstract

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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Xiaowei Wang, Chenyang Xu. 2013-01-05. Nonexistence of asymptotic GIT compactification. https://doi.org/10.1215/00127094-2785806

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