27 citations · 33 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
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 $…