English

Nonexistence of asymptotic GIT compactification

Algebraic Geometry 2015-01-14 v2 Differential Geometry

Abstract

We provide examples of families of (log) smooth canonically polarized varieties, including smooth weighted pointed curves and smooth hypersurfaces in P3P^3 with large degree such that the Chow semistable limits under distinct pluricanonical embeddings do not stabilize.

Keywords

Cite

@article{arxiv.1212.0173,
  title  = {Nonexistence of asymptotic GIT compactification},
  author = {Xiaowei Wang and Chenyang Xu},
  journal= {arXiv preprint arXiv:1212.0173},
  year   = {2015}
}

Comments

Several typos are corrected according to the feedback

R2 v1 2026-06-21T22:47:24.746Z