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Alexander Rashkovskii

Approximation of plurisubharmonic singularities

We consider classes of isolated singularities of plurisubharmonic functions that can be approximated by analytic singularities with control over the residual Monge-Ampére masses. They are characterized in terms of Green functions for Demailly's approximations and relative types. The types relative to such singularities are represented as lower envelopes of weighted divisorial valuations and analytic disk functionals.





















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