Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904814 | Advances in Mathematics | 2018 | 34 Pages |
Abstract
We prove that if a positive closed current is bounded by another one with bounded, continuous or Hölder continuous super-potentials, then it inherits the same property. There are two different methods to define wedge-products of positive closed currents of arbitrary bi-degree on compact Kähler manifolds using super-potentials and densities. When the first method applies, we show that the second method also applies and gives the same result. As an application, we obtain a sharp upper bound for the number of isolated periodic points of holomorphic maps on compact Kähler manifolds whose actions on cohomology are simple. A similar result still holds for a large class of holomorphic correspondences.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Tien-Cuong Dinh, Viêt-Anh Nguyên, Duc-Viet Vu,