Abstract
In this paper, we study the hypercritical deformed Hermitian-Yang–Mills equation on compact Kähler manifolds and resolve two conjectures of Collins–Yau [Moment maps, nonlinear PDE, and stability in mirror symmetry, preprint (2018), https://arxiv.org/abs/1811.04824].
Funding statement: J. Chu was partially supported by the Fundamental Research Funds for the Central Universities, Peking University. M.-C. Lee was supported by the direct grant for research 2021/2022.
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Articles in the same Issue
- Frontmatter
- Comparing the Kirwan and noncommutative resolutions of quotient varieties
- Supersingular elliptic curves over ℤ𝑝-extensions
- Gelfand–Kirillov dimension and the p-adic Jacquet–Langlands correspondence
- Models of Jacobians of curves
- Hypercritical deformed Hermitian-Yang–Mills equation revisited
- Categorical action filtrations via localization and the growth as a symplectic invariant
- Boundary regularity of minimal graphs in the hyperbolic space
- Collapsing and noncollapsing in convex ancient mean curvature flow
Articles in the same Issue
- Frontmatter
- Comparing the Kirwan and noncommutative resolutions of quotient varieties
- Supersingular elliptic curves over ℤ𝑝-extensions
- Gelfand–Kirillov dimension and the p-adic Jacquet–Langlands correspondence
- Models of Jacobians of curves
- Hypercritical deformed Hermitian-Yang–Mills equation revisited
- Categorical action filtrations via localization and the growth as a symplectic invariant
- Boundary regularity of minimal graphs in the hyperbolic space
- Collapsing and noncollapsing in convex ancient mean curvature flow