Weak geodesic rays in the space of K\"ahler potentials and the class E(X,\omega)
Complex Variables
2017-12-15 v4 Differential Geometry
Abstract
Suppose (X,\omega) is a compact K\"ahler manifold. In the present work we propose a simple construction for weak geodesic rays in the space of K\"ahler metrics that seems to be tied together with properties of the class E(X,\omega). As an application of our construction, we prove a characterization of E(X,\omega) in terms of envelopes.
Cite
@article{arxiv.1307.6822,
title = {Weak geodesic rays in the space of K\"ahler potentials and the class E(X,\omega)},
author = {Tamás Darvas},
journal= {arXiv preprint arXiv:1307.6822},
year = {2017}
}
Comments
v3. References added. Other minor changes made v4. Final version. Small change in title. Section 2.4 expanded with a result of Ross and Witt-Nystrom on analytic test configurations