Rigid currents in birational geometry
Algebraic Geometry
2024-02-09 v1 Complex Variables
Abstract
A rigid current on a compact complex manifold is a closed positive current whose cohomology class contains only one closed positive current. Rigid currents occur in complex dynamics, algebraic and differential geometry. The goals of the present paper are: (a) to give a systematic treatment of rigid currents, (b) to demonstrate how they appear within the Minimal Model Program, and (c) to give many new examples of rigid currents.
Cite
@article{arxiv.2402.05807,
title = {Rigid currents in birational geometry},
author = {Vladimir Lazić and Zhixin Xie},
journal= {arXiv preprint arXiv:2402.05807},
year = {2024}
}