The openness conjecture and complex Brunn-Minkowski inequalities

By B. Berndtsson. 2014

61 citations recorded by the source corpus.

We discuss recent versions of the Brunn-Minkowski inequality in the complex setting, and use it to prove the openness conjecture of Demailly and Koll\'ar.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/4c1993f6908fdec00c8c6d62d6b9415576d7bb9b

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In Applied Mathematics

1. S. Boucksom
2. Mattias Jonsson
3. Robert J. Berman
4. Chi Li
5. Tam'as Darvas
6. Yuchen Liu
7. Yanir A. Rubinstein
8. Thibaut Delcroix

In Geometry and Topology

1. S. Boucksom
2. Robert J. Berman
3. Mattias Jonsson
4. Chi Li
5. Yuchen Liu
6. Tam'as Darvas
7. H. Blum
8. C. Favre

Citations in the corpus

• A variational approach to the Yau–Tian–Donaldson conjecture (2015, methodology): “On the other hand, the assumption that θ is klt implies that e − 2 ψ locally in L p loc for some p > 1 [Bern15b, GZh15].”