English

Supercritical deformed Hermitian-Yang-Mills equation

Differential Geometry 2021-07-21 v1 Mathematical Physics Complex Variables math.MP Symplectic Geometry

Abstract

In this paper, we provide a necessary and sufficient condition for the solvability of the supercritical deformed Hermitian-Yang-Mills equation using integrals on subvarieties. This result confirms the mirror version of the Thomas-Yau conjecture about special Lagrangian submanifolds on Calabi-Yau manifolds.

Keywords

Cite

@article{arxiv.2005.12202,
  title  = {Supercritical deformed Hermitian-Yang-Mills equation},
  author = {Gao Chen},
  journal= {arXiv preprint arXiv:2005.12202},
  year   = {2021}
}
R2 v1 2026-06-23T15:47:43.549Z