Nonexistence of asymptotic GIT compactification

Xiaowei Wang; Chenyang Xu

doi:10.1215/00127094-2785806

Nonexistence of asymptotic GIT compactification

Xiaowei Wang, Chenyang Xu

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	2217-2241
Number of pages	25
Journal	Duke Mathematical Journal
Volume	163
Issue number	12
DOIs	https://doi.org/10.1215/00127094-2785806
State	Published - 2014
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1215/00127094-2785806

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title = "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 &Pdbl;3 with large degree such that the Chow semistable limits under distinct pluricanonical embeddings do not stabilize.",

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doi = "10.1215/00127094-2785806",

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JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

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Nonexistence of asymptotic GIT compactification

Abstract

All Science Journal Classification (ASJC) codes

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