Relations between the Kähler cone and the balanced cone of a Kähler manifold

Jixiang Fu*, Jian Xiao

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

In this paper, we consider a natural map from the Kähler cone of a compact Kähler manifold to its balanced cone. We study its injectivity and surjectivity. We also give an analytic characterization theorem on a nef class being Kähler.

Original languageEnglish (US)
Pages (from-to)230-252
Number of pages23
JournalAdvances in Mathematics
Volume263
DOIs
StatePublished - Oct 1 2014

Keywords

  • Balanced cone
  • Complex Monge-Ampere equation
  • Kähler cone
  • Kähler manifold
  • Nef
  • Positive current

ASJC Scopus subject areas

  • Mathematics(all)

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