A two-parameter continuity path characterizes solvability of the Poincaré-type J-equation on Kähler manifolds with divisor singularities, showing subsolutions imply solutions on surfaces and K-energy boundedness under ampleness conditions.
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UNVERDICTED 3representative citing papers
Chern-Ricci flow on Hermitian minimal models of general type admits uniform estimates yielding subsequential Gromov-Hausdorff convergence under a local Kähler assumption.
Proves existence, uniqueness and flow convergence for weak solutions of generalized Monge-Ampère and supercritical dHYM equations on boundary cohomology classes via viscosity and pluripotential techniques.
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Poincar\'e type J-equation
A two-parameter continuity path characterizes solvability of the Poincaré-type J-equation on Kähler manifolds with divisor singularities, showing subsolutions imply solutions on surfaces and K-energy boundedness under ampleness conditions.
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Gromov-Hausdorff limits of the Chern-Ricci flow on smooth Hermitian minimal models of general type
Chern-Ricci flow on Hermitian minimal models of general type admits uniform estimates yielding subsequential Gromov-Hausdorff convergence under a local Kähler assumption.
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Weak solutions of the generalized Monge-Amp\`ere equation and the supercritical deformed Hermitian-Yang-Mills equation: boundary cases
Proves existence, uniqueness and flow convergence for weak solutions of generalized Monge-Ampère and supercritical dHYM equations on boundary cohomology classes via viscosity and pluripotential techniques.