English

Openness results for uniform K-stability

Algebraic Geometry 2017-09-26 v1 Differential Geometry

Abstract

Assume that a projective variety together with a polarization is uniformly K-stable. If the polarization is canonical or anti-canonical, then the projective variety is uniformly K-stable with respects to any polarization sufficiently close to the original polarization.

Keywords

Cite

@article{arxiv.1709.08209,
  title  = {Openness results for uniform K-stability},
  author = {Kento Fujita},
  journal= {arXiv preprint arXiv:1709.08209},
  year   = {2017}
}

Comments

22 pages

R2 v1 2026-06-22T21:53:05.260Z