Nonexistence of asymptotic GIT compactification

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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References in corpus (2)

• A simply connected surface of general type with p_g=0 and K^2=2
• CM Stability and the Generalized Futaki Invariant I

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