The Calabi-Yau Theorem and K\"ahler currents
Valentino Tosatti
TL;DR
This paper reviews how the Calabi-Yau theorem is applied to construct singular positive (1,1) currents on compact complex manifolds, highlighting recent streamlined proofs and new results.
Contribution
It provides a comprehensive overview of applications of the Calabi-Yau theorem to current construction, including new insights and simplified proofs.
Findings
Streamlined proofs of existing results
New applications of the Calabi-Yau theorem
Construction of singular positive (1,1) 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.
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