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- W4297583712 abstract "Ein, Lazarsfeld and Smith asked whether `equality' holds between two Samuel type asymptotic multiplicities for a graded system of zero-dimensional ideals on a smooth complex variety. We find a connection of this question to complex analysis by showing that the `equality' is equivalent to a particular case of Demailly's strong continuity property on the convergence of residual Monge-Amp`ere masses under approximation of plurisubharmonic functions. On the other hand, in an appendix of this paper, S'ebastien Boucksom gives an algebraic proof of the `equality' in general, using the intersection theory of b-divisors. We then use these to show that Demailly's strong continuity holds for a new important class of plurisubharmonic functions." @default.
- W4297583712 created "2022-09-30" @default.
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- W4297583712 date "2020-06-29" @default.
- W4297583712 modified "2023-10-17" @default.
- W4297583712 title "Asymptotic multiplicities and Monge-Amp`ere masses (with an appendix by S'ebastien Boucksom)" @default.
- W4297583712 doi "https://doi.org/10.48550/arxiv.2006.15929" @default.
- W4297583712 hasPublicationYear "2020" @default.
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