Remark on nefness in higher codimension
Algebraic Geometry
2022-04-29 v2 Complex Variables
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.
Cite
@article{arxiv.2011.14896,
title = {Remark on nefness in higher codimension},
author = {Xiaojun Wu},
journal= {arXiv preprint arXiv:2011.14896},
year = {2022}
}
Comments
27 pages, Final version,final section removed, to appear in Bulletin de la Soci\'et\'e Math\'ematique de France, 2022