Remark on nefness in higher codimension
arXiv:2011.14896
Abstract
In this work, following the fundamental work of Boucksom we construct the nef cone of a compact complex manifold in higher codimension and give explicit examples where these cones are different. In the third section, we give two versions of Kawamata-Viehweg vanishing theorems in terms of nefness in higher codimension and numerical dimensions. We also show by examples the optimality of the divisoral Zariski decomposition defined by Boucksom.
27 pages, Final version,final section removed, to appear in Bulletin de la Société Mathématique de France, 2022