On the convexity of general inverse \(\sigma_k\) equations
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Publication:6108676
DOI10.1016/j.jfa.2023.110038arXiv2209.11370OpenAlexW4379056506MaRDI QIDQ6108676
Publication date: 30 June 2023
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.11370
Kähler manifolds (32Q15) Compact Kähler manifolds: generalizations, classification (32J27) Complex Monge-Ampère operators (32W20) Notions of stability for complex manifolds (32Q26)
Cites Work
- Unnamed Item
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- From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform.
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- The Dirichlet problem for Hessian equations on Riemannian manifolds
- On the Dirichlet problem for Hessian equations
- Moment maps and diffeomorphisms
- Elliptic partial differential equations of second order
- The anomaly flow and the Fu-Yau equation
- Convergence of the \(J\)-flow on toric manifolds
- Fully non-linear elliptic equations on compact Hermitian manifolds
- Numerical characterization of the Kähler cone of a compact Kähler manifold
- \((1,1)\) forms with specified Lagrangian phase: \textit{a priori} estimates and algebraic obstructions
- Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds
- A class of curvature type equation
- Weak geodesics for the deformed Hermitian-Yang-Mills equation
- Fu-Yau Hessian equations
- Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics
- The J-equation and the supercritical deformed Hermitian-Yang-Mills equation
- Lorentzian polynomials
- A numerical criterion for generalised Monge-Ampère equations on projective manifolds
- A second order estimate for complex Hess equations on a compact Kähler manifold
- The J-flow and stability
- A special Lagrangian type equation for holomorphic line bundles
- The Fu-Yau equation with negative slope parameter
- On estimates for the Fu-Yau generalization of a Strominger system
- The deformed Hermitian Yang-Mills equation on three-folds
- Convergence of general inverse $\sigma _k$-flow on Kähler manifolds with Calabi ansatz
- Singular solutions to special Lagrangian equations with subcritical phases and minimal surface systems
- On a class of fully nonlinear flows in Kähler geometry
- On the existence of Hamiltonian stationary Lagrangian submanifolds in symplectic manifolds
- Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
- Global solutions to special Lagrangian equations
- On multivariate Newton-like inequalities
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- On the existence of hermitian-yang-mills connections in stable vector bundles
- A priori estimates for solutions of fully nonlinear equations with convex level set
- Logarithmic concavity of Schur and related polynomials
- Log-concave polynomials II: high-dimensional walks and an FPRAS for counting bases of a matroid
- The deformed Hermitian-Yang-Mills equation in geometry and physics
- On the convergence and singularities of the J‐Flow with applications to the Mabuchi energy
- Deformed Hermitian Yang–Mills connections, extended gauge group and scalar curvature
- Nonlinear instantons from supersymmetric \(p\)-branes
- On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase
- Log-concave polynomials IV: approximate exchange, tight mixing times, and near-optimal sampling of forests