2 papers
math.AG2024
A transcendental approach to non-Archimedean metrics of pseudoeffective classes
Tamás Darvas, Mingchen Xia, Kewei Zhang
We introduce the concept of non-Archimedean metrics attached to a transcendental pseudoeffective cohomology class on a compact Kähler manifold. This is obtained via extending the…
math.DG2024
Twisted Kähler-Einstein metrics in big classes
Tamás Darvas, Kewei Zhang
We prove existence of twisted Kähler-Einstein metrics in big cohomology classes, using a divisorial stability condition. In particular, when is big, we obtain a uniform Yau…