27 citations · 33 across the 7 of their papers we have counts for
9 papers
Psh variation of singular Kähler-Einstein metrics and Invariance of plurigenera for smooth Kähler families
Yinji Li, Mihai Păun, Zhiwei Wang +1
Let be a proper holomorphic submersion whose total space is a Kähler manifold. We prove that is independent of for eve…
Hodge theory for local systems and cohomological support loci
Junyan Cao, Ya Deng, Christopher D. Hacon +1
In this article, we pursue two main objectives. The first is to show that the fundamental results of Green-Lazarsfeld (1987, 1991) on generic vanishing theorems, and works of Budur…
Bogomolov-Gieseker inequality for log terminal Kähler threefolds
Henri Guenancia, Mihai Păun
In this article we are mainly concerned with three dimensional compact Kähler spaces with log terminal singularities. We establish the orbifold version of the Bogomolov-Gieseker in…
On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs
Christopher Hacon, Mihai Paun
In this article we prove analogs of Kawamata's canonical bundle formula, Kawamata subadjunction and plt/lc inversion of adjunction for generalized pairs on Kaehler varieties. We al…
Curvature formula for direct images of twisted relative canonical bundles endowed with a singular metric
Junyan Cao, Henri Guenancia, Mihai Păun
In this note, we obtain various formulas for the curvature of the metric on the direct image of the relative canonical bundle twisted by a holomorphic line bundle endowed wit…
A decomposition theorem for -Fano Kähler-Einstein varieties
Stéphane Druel, Henri Guenancia, Mihai Păun
Let be a -Fano variety admitting a Kähler-Einstein metric. We prove that up to a finite quasi-étale cover, splits isometrically as a product of Kähler-Einstein $…
Variation of singular Kähler-Einstein metrics: positive Kodaira dimension
Junyan Cao, Henri Guenancia, Mihai Păun
Given a Kähler fiber space whose generic fiber is of general type, we prove that the fiberwise singular Kähler-Einstein metric induces a semipositively curved metric on…
Conic singularities metrics with prescribed Ricci curvature: the case of general cone angles along normal crossing divisors
Henri Guenancia, Mihai Păun
Let be a non-singular compact Kähler manifold, endowed with an effective divisor having simple normal crossing support, and satisfying . Th…
Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields
Frédéric Campana, Henri Guenancia, Mihai Păun
We prove the existence of non-positively curved Kähler-Einstein metrics with cone singularities along a given simple normal crossing divisor on a compact Kähler manifold, under a t…