Regularity properties of the degenerate Monge–Ampère equations on compact Kähler manifolds
نویسنده
چکیده
We recall that according to [3], a function φ : X → [−∞,∞) is called quasiplurisubharmonic (quasi-psh for short) if it is locally equal to the sum of a smooth function and a plurisubharmonic (psh) function. Then there exist a constant C ∈ R such that √ −1∂∂φ ≥ −Cω in the sense of currents on X . We say that a function ψ has logarithmic poles if for each open set U ⊂ X there exist a family of holomorphic functions (f j ) such that ψ ≡ ∑ j |fU j |2 modulo C(U); it is an important class of quasi-psh functions.
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