Intersection of positive closed currents of higher bidegree

Duc-Viet Vu

Intersection of positive closed currents of higher bidegree

Dynamical Systems 2015-07-21 v1

Authors: Duc-Viet Vu

Abstract

Let $X$ be a compact K\"ahler manifold of dimension $n.$ Let $T$ and $S$ be two positive closed currents on $X$ of bidegree $(p,p)$ and $(q,q)$ respectively with $p+q\le n.$ Assume that $T$ has a continuous super-potential. We prove that the wedge product $T \wedge S,$ defined by Dinh and Sibony, is a positive closed current.

Keywords

positive closed current wedge product super-potential Kähler manifold bidegree

Cite

@article{arxiv.1507.05464,
  title  = {Intersection of positive closed currents of higher bidegree},
  author = {Duc-Viet Vu},
  journal= {arXiv preprint arXiv:1507.05464},
  year   = {2015}
}

Comments

11 pages

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