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Some characterizations of the class m ( Ω ) and applications

Hai Mau Le, Hong Xuan Nguyen, Hung Viet Vu (2015)

Annales Polonici Mathematici

We give some characterizations of the class m ( Ω ) and use them to establish a lower estimate for the log canonical threshold of plurisubharmonic functions in this class.

Sur l'intersection des courants laminaires.

Romain Dujardin (2004)

Publicacions Matemàtiques

We try to find a geometric interpretation of the wedge product of positive closed laminar currents in C2. We say such a wedge product is geometric if it is given by intersecting the disks filling up the currents. Uniformly laminar currents do always intersect geometrically in this sense. We also introduce a class of strongly approximable laminar currents, natural from the dynamical point of view, and prove that such currents intersect geometrically provided they have continuous potentials.

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