Weak geodesic rays in the space of K\"ahler potentials and the class E(X,\omega)

Tamás Darvas

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arXiv · 1307.6822

Weak geodesic rays in the space of K\"ahler potentials and the class E(X,\omega)

Tamás Darvas

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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.

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BibTeX RIS

Tamás Darvas. 2013-07-25. Weak geodesic rays in the space of K\"ahler potentials and the class E(X,\omega). https://arxiv.org/abs/1307.6822

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