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arxiv: 1003.2219 · v1 · submitted 2010-03-08 · 🧮 math.DS · math.CV

Courants dynamiques pluripolaires

classification 🧮 math.DS math.CV
keywords currentalgebraicalgebraicallybirationalclosedcourantsdegreedynamiques
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We show the existence of birational self-maps f of P^k which are algebraically stable with algebraic degree d, for which there is a unique positive closed (1,1) current T satisfying f^*T=d T and ||T||=1 and for which the current T gives total mass to a pluripolar set.

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