English

Hypercritical deformed Hermitian-Yang-Mills equation

Differential Geometry 2021-07-29 v1

Abstract

In this work, we study the deformed Hermitian-Yang-Mills equation on compact K\"ahler manifold. We introduce the notions of coerciveness and properness of the J\mathcal{J}-functional on the space of almost calibrated (1,1)(1,1)-forms and show that they are both equivalent to the existence of solutions to the hypercritical deformed Hermitian-Yang-Mills equation.

Keywords

Cite

@article{arxiv.2107.13192,
  title  = {Hypercritical deformed Hermitian-Yang-Mills equation},
  author = {Jianchun Chu and Man-Chun Lee},
  journal= {arXiv preprint arXiv:2107.13192},
  year   = {2021}
}

Comments

45 pages

R2 v1 2026-06-24T04:35:09.505Z