渐近多重性和Monge-Ampère质量（附塞巴斯蒂安·布克索姆的附录）
Asymptotic multiplicities and Monge-Ampère masses (with an appendix by Sébastien Boucksom)
摘要：
艾因，Lazarsfeld和史密斯问是否“平等”之间持有两个塞缪尔型渐近多重性的一个分等级系统的零维理想的顺利复杂的品种。我们发现这个问题的连接复分析表明，“平等”是相当于一个特殊的情况下Demailly的强连续性财产的收敛剩余蒙赫-安培群众逼近下的多重次调和函数。另一方面，在附录中的本文，塞巴斯蒂安Boucksom给出了代数证明的“平等”一般，使用相交理论的b-因子。然后，我们用这些来表明，Demailly的强连续性持有一类新的重要的多重次调和函数。
英文摘要：
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-Ampère masses under approximation of plurisubharmonic functions. On the other hand, in an appendix of this paper, Sébastien 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.
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