A numerical criterion for generalised Monge-Ampère equations on projective manifolds
From MaRDI portal
Publication:2232155
DOI10.1007/s00039-021-00577-1zbMath1505.32040arXiv2006.01530OpenAlexW3198565578MaRDI QIDQ2232155
Vamsi Pritham Pingali, Ved V. Datar
Publication date: 4 October 2021
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.01530
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Monge-Ampère equations (35J96)
Related Items (7)
The deformed Hermitian-Yang-Mills equation, the Positivstellensatz, and the solvability ⋮ The supercritical deformed Hermitian Yang-Mills equation on compact projective manifolds ⋮ On the convexity of general inverse \(\sigma_k\) equations ⋮ \(J\)-equation on holomorphic vector bundles ⋮ A note on modified \(J\)-flow with the Calabi ansatz ⋮ Hypercritical deformed Hermitian-Yang-Mills equation revisited ⋮ The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Estimates for the complex Monge-Ampère equation on Hermitian and balanced manifolds
- The Dirichlet problem for degenerate complex Monge-Ampère equations
- The \(J\)-flow on toric manifolds
- \(I\)-properness of Mabuchi's \(K\)-energy
- Moment maps and diffeomorphisms
- About \(J\)-flow, \(J\)-balanced metrics, uniform \(J\)-stability and K-stability
- A remark on the convergence of the inverse \(\sigma_k\)-flow
- 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
- Convergence of the \(J\)-flow on Kähler surfaces
- Special Lagrangian and deformed Hermitian Yang-Mills on tropical manifold
- \((1,1)\) forms with specified Lagrangian phase: \textit{a priori} estimates and algebraic obstructions
- Optimal lower bounds for Donaldson's J-functional
- Weak geodesics for the deformed Hermitian-Yang-Mills equation
- Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics
- The J-equation and the supercritical deformed Hermitian-Yang-Mills equation
- A rigidity theorem for the deformed Hermitian-Yang-Mills equation
- Collapsing of the line bundle mean curvature flow on Kähler surfaces
- A finite dimensional approach to Donaldson's J-flow
- Resolution of singularities of an algebraic variety over a field of characteristic zero. II
- The J-flow and stability
- A special Lagrangian type equation for holomorphic line bundles
- On the \(J\)-flow in higher dimensions and the lower boundedness of the Mabuchi energy
- The \(J\)-flow on Kähler surfaces: a boundary case
- Stetige streng pseudokonvexe Funktionen
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- On a class of fully nonlinear flows in Kähler geometry
- The complex Monge-Ampère equation on compact Hermitian manifolds
- A generalised Monge-Amp\`ere equation
- Lectures on Resolution of Singularities (AM-166)
- On regularization of plurisubharmonic functions on manifolds
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- A note on the deformed Hermitian Yang-Mills PDE
- Resolution of Singularities
- Tan-concavity property for Lagrangian phase operators and applications to the tangent Lagrangian phase flow
- The deformed Hermitian-Yang-Mills equation in geometry and physics
- The degenerate J-flow and the Mabuchi energy on minimal surfaces of general type
- On the convergence and singularities of the J‐Flow with applications to the Mabuchi energy
- Parabolic complex Monge-Ampère type equations on closed Hermitian manifolds
This page was built for publication: A numerical criterion for generalised Monge-Ampère equations on projective manifolds