Teissier's problem on proportionality of nef and big classes over a compact K\"ahler manifold
Algebraic Geometry
2014-10-21 v1
Abstract
We solve Teissier's proportionality problem for transcendental nef classes over a compact K\"ahler manifold which says that the equality in the Khovanskii-Teissier inequalities hold for two nef and big classes if and only if the two classes are proportional. This result recovers the previous one of Boucksom-Favre-Jonsson for the case of nef and big line bundles over a (complex) projective algebraic manifold.
Keywords
Cite
@article{arxiv.1410.4878,
title = {Teissier's problem on proportionality of nef and big classes over a compact K\"ahler manifold},
author = {Jixiang Fu and Jian Xiao},
journal= {arXiv preprint arXiv:1410.4878},
year = {2014}
}