Complex Hessian equations with prescribed singularity on compact Kähler manifolds
From MaRDI portal
Publication:5075135
DOI10.2422/2036-2145.201909_006zbMath1487.32206arXiv1909.02469OpenAlexW2972074434MaRDI QIDQ5075135
Publication date: 10 May 2022
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.02469
Compact Kähler manifolds: generalizations, classification (32J27) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05)
Related Items
On the regularity of the complex Hessian equation, Continuous solutions to complex Hessian equations on Hermitian manifolds, A characterization of the degenerate complex Hessian equations for functions with bounded (p,m)-energy, Continuous solutions for degenerate complex Hessian equation
Cites Work
- Unnamed Item
- Unnamed Item
- Kiselman's principle, the Dirichlet problem for the Monge-Ampère equation, and rooftop obstacle problems
- Smooth approximation of plurisubharmonic functions on almost complex manifolds
- A variational approach to complex Monge-Ampère equations
- Solutions to degenerate complex Hessian equations
- Potential theory in the class of \(m\)-subharmonic functions
- Hölder continuous solutions to complex Hessian equations
- Degenerate complex Monge-Ampère equations
- Monge-Ampère equations in big cohomology classes
- A new capacity for plurisubharmonic functions
- The Mabuchi geometry of finite energy classes
- Quaternionic Monge-Ampère equation and Calabi problem for HKT-manifolds
- Uniqueness in \(\mathcal E(X,\omega)\)
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- Fine topology, Šilov boundary, and \((dd^ c)^ n\)
- The Dirichlet problem for a complex Monge-Ampère equation
- Pluricomplex energy
- On the Dirichlet problem for Hessian equations
- The complex Monge-Ampère equation
- Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity
- Fully non-linear elliptic equations on compact Hermitian manifolds
- On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
- Viscosity solutions to complex Hessian equations
- Fu-Yau Hessian equations
- The metric geometry of singularity types
- Subextension of \(m\)-subharmonic functions
- Log-concavity of volume and complex Monge-Ampère equations with prescribed singularity
- A second order estimate for complex Hess equations on a compact Kähler manifold
- Plurisubharmonic envelopes and supersolutions
- Mixed Hessian inequalities and uniqueness in the class \(\mathcal {E}(X,\omega ,m)\)
- A variational approach to complex Hessian equations in \(\mathbb{C}^n\)
- Complex Monge-Ampère equations on quasi-projective varieties
- The Fu-Yau equation with negative slope parameter
- On estimates for the Fu-Yau generalization of a Strominger system
- The weighted Monge-Ampère energy of quasiplurisubharmonic functions
- A priori estimates for complex Hessian equations
- Analytic test configurations and geodesic rays
- Weak solutions to the complex Hessian equation.
- From Monge-Ampère equations to envelopes and geodesic rays in the zero temperature limit
- Degenerate complex Hessian equations on compact Kahler manifolds
- Modulus of continuity of solutions to complex Hessian equations
- Radial symmetric solution of complex Hessian equation in the unit ball
- Liouville and Calabi-Yau type theorems for complex Hessian equations
- Viscosity solutions to degenerate complex monge-ampère equations
- Complex Hessian Equation on Kähler Manifold
- Mixed volume forms and a complex equation of Monge-Ampère type on Kähler manifolds of positive curvature
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- The Dirichlet problem for a complex Hessian equation on compact Hermitian manifolds with boundary
- On the singularity type of full mass currents in big cohomology classes
- Metric Geometry of Normal Kähler Spaces, Energy Properness, and Existence of Canonical Metrics
- A variational theory of the Hessian equation
- The Dirichlet problem for the complex Hessian operator in the class $\mathcal{N}_m(\Omega,f)$
- Hodge-Index Type Inequalities, Hyperbolic Polynomials, and Complex Hessian Equations
- Geometric pluripotential theory on Kähler manifolds
- Monotonicity of non-pluripolar Monge-Ampere masses
- Weak solutions of complex Hessian equations on compact Hermitian manifolds
- Möbius orthogonality for generalized Morse-Kakutani flows
- Subsolution theorem for the complex Hessian equation
- Complex Hessian equations on some compact Kähler manifolds