Degenerate advanced Monge-Ampère equations on some compact Hermitian manifolds
Authors: Mohammed Salouf
Summary: Let X be a compact advanced manifold which admits a hermitian metric satisfying a curvature situation launched by Guan-Li. Given a semipositive type θ with constructive quantity, we outline the Monge-Ampère operator for unbounded θ-psh capabilities and show that it’s steady with respect to convergence in capability. We then develop pluripotential instruments to review degenerate advanced Monge-Ampère equations on this context, extending current outcomes of Tosatti-Weinkove, Kolodziej-Nguyen, Guedj-Lu and lots of others who deal with bounded options.
