Hypercritical deformed Hermitian-Yang-Mills equation revisited
Jianchun Chu, Man-Chun Lee
TL;DR
This paper investigates the hypercritical deformed Hermitian-Yang-Mills equation on compact Kähler manifolds, providing new insights and resolving two conjectures posed by Collins-Yau in the field of complex differential geometry.
Contribution
The paper offers a comprehensive analysis of the hypercritical deformed Hermitian-Yang-Mills equation and confirms two significant conjectures by Collins-Yau.
Findings
Resolved two conjectures of Collins-Yau.
Enhanced understanding of the hypercritical deformed Hermitian-Yang-Mills equation.
Contributed to the theory of complex differential geometry.
Abstract
In this paper, we study the hypercritical deformed Hermitian-Yang-Mills equation on compact K\"ahler manifolds and resolve two conjectures of Collins-Yau.
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Taxonomy
TopicsGeometry and complex manifolds · Nonlinear Waves and Solitons · Algebraic Geometry and Number Theory