Chern number inequalities of deformed Hermitian-Yang-Mills metrics on four dimensional Kaehler manifolds

Abstract

In this paper, we investigate the Chern number inequalities on $4$-dimensional Kähler manifolds admitting the deformed Hermitian-Yang-Mills metrics under the assumption $\hat{\theta }\in (\pi ,2\pi )$.

arXiv commentAll commments are welcome!

References in corpus (7)

• (1,1) forms with specified Lagrangian phase: A priori estimates and algebraic obstructions
• Moment maps, nonlinear PDE, and stability in mirror symmetry
• The deformed Hermitian Yang-Mills equation on three-folds
• Deformed Hermitian Yang-Mills connections, extended gauge group and scalar curvature
• Hodge-index type inequalities, hyperbolic polynomials and complex Hessian equations
• Collapsing of the line bundle mean curvature flow on Kähler surfaces
• Stability and the deformed Hermitian-Yang-Mills equation

Cited by in corpus (1)

• Examples of dHYM connections in a variable background