OPENNESS OF K-SEMISTABILITY FOR FANO VARIETIES

Harold Blum, Yuchen Liu, Chenyang Xu

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

In this paper, we prove the openness of K-semistability in families of log Fano pairs by showing that the stability threshold is a constructible function on the fibers. We also prove that any special test configuration arises from a log canonical place of a bounded complement and establish properties of any minimizer of the stability threshold.

Original languageEnglish (US)
Pages (from-to)2753-2797
Number of pages45
JournalDuke Mathematical Journal
Volume171
Issue number13
DOIs
StatePublished - 2022

All Science Journal Classification (ASJC) codes

  • General Mathematics

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