Problem 24.11.1A63319B4B931

Problem 24.11.1.A63319B4B931 Consider reduced irreducible compact unibranch complex spaces with a Hermitian form, as in 9.11. Beyond the projective cones of subsection 9.11.27, determine geometric conditions on such spaces and conditions on the measure that give existence and uniqueness of solutions in specified singularity classes. Identify estimates ensuring finite mass, descent from resolutions and continuity, and describe their behavior under common refinements of resolutions.