Wermer Examples and Currents

نویسنده

  • ROMAIN DUJARDIN
چکیده

We give the first examples of positive closed currents T in C with continuous potentials, T ∧ T = 0 and whose supports do not contain any holomorphic disk. This gives in particular an affirmative answer to a question of Fornæss and Levenberg. We actually construct examples with potential of class C for all α < 1. This regularity is expected to be essentially optimal.

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تاریخ انتشار 2009