5 citations · 7 across the 7 of their papers we have counts for
7 papers
A complex analytic approach to orbifold Chern classes on singular varieties and its applications
Henri Guenancia, Mihai Păun
In this article, we prove the orbifold version of the Bogomolov-Gieseker inequality for stable -sheaves on Kähler varieties, generalizing our earlier work \cite{GP25} in…
A note on orbifold regularity of canonical metrics
Henri Guenancia, Chung-Ming Pan, Mihai Păun
In this short note, we prove that on a compact Kähler variety with log terminal singularities and , any singular Ricci-flat Kähler metric has orbifold singularities i…
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…
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…
-lemmas and a conjecture of O. Fujino
Junyan Cao, Mihai Păun
It contains the proof of a very general -lemma, together with a decomposition theorem for currents with values in a (singular) Hermitian line bundle. As a cor…
On the -dimensional minimal model program for Kähler varieties
Omprokash Das, Christopher Hacon, Mihai Păun
In this article we establish the following results: Let be a dlt pair, where is a -factorial Kähler -fold -- (i) if is compact and $K_X+B\sim_{\mathb…
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…