English

The J-flow and stability

Differential Geometry 2013-09-12 v1

Abstract

We study the J-flow from the point of view of an algebro-geometric stability condition. In terms of this we give a lower bound for the natural associated energy functional, and we show that the blowup behavior found by Fang-Lai is reflected by the optimal destabilizer. Finally we prove a general existence result on complex tori.

Cite

@article{arxiv.1309.2821,
  title  = {The J-flow and stability},
  author = {Mehdi Lejmi and Gábor Székelyhidi},
  journal= {arXiv preprint arXiv:1309.2821},
  year   = {2013}
}

Comments

21 pages

R2 v1 2026-06-22T01:24:53.784Z