The Calabi-Yau Theorem and Kähler currents

Abstract

In this note we give an overview of some applications of the Calabi-Yau theorem to the construction of singular positive (1,1) currents on compact complex manifolds. We show how recent developments allow us to give streamlined proofs of existing results, as well as new ones.

19 pages; submitted to the proceedings of the conference "60 years of Calabi Conjecture"

Cited by in corpus (3)

• Orthogonality of divisorial Zariski decompositions for classes with volume zero
• Restricted volumes on Kähler manifolds
• Singularities of the Chern-Ricci flow