3 papers
math.CV2025
Remarks on Relative Canonical Bundles and Algebraicity Criteria for Foliations in Kähler context
Junyan Cao, Mihai Păun
In this note, motivated by the recent preprint of W. Ou, we pursue three main objectives. The first is to make progress towards the positivity of the relative canonical bundle in t…
math.AG2024
Fonctions plurisousharmoniques et géométrie complexe: sur quelques résultats de J.-P. Demailly
Mihai Păun
This is a survey article, presenting few of the mathematical achievements of J.-P. Demailly. We discuss a few aspects of his approach for Fujita conjecture, and results around the…
math.DG2019
Variation of singular Kähler-Einstein metrics: Kodaira dimension zero
Junyan Cao, Henri Guenancia, Mihai Păun
We study several questions involving relative Ricci-flat Kähler metrics for families of log Calabi-Yau manifolds. Our main result states that if is a Kähler fiber sp…