English

An application of a $C^2$-estimate for a complex Monge-Amp\`ere equation

Differential Geometry 2021-03-03 v2 Complex Variables

Abstract

By studying a complex Monge-Amp\`ere equation, we present an alternate proof to a recent result of Chu-Lee-Tam concerning the projectivity of a compact K\"ahler manifold NnN^n with \Rick<0\Ric_k< 0 for some integer kk with 1<k<n1<k<n, and the ampleness of the canonical line bundle KNK_N.

Keywords

Cite

@article{arxiv.2011.13508,
  title  = {An application of a $C^2$-estimate for a complex Monge-Amp\`ere equation},
  author = {Chang Li and Lei Ni and Xiaohua Zhu},
  journal= {arXiv preprint arXiv:2011.13508},
  year   = {2021}
}

Comments

An appendix is added

R2 v1 2026-06-23T20:32:23.202Z