3 papers
math.AG2025
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…
math.AG2025
Bogomolov-Gieseker inequality for log terminal Kähler threefolds
Henri Guenancia, Mihai PÄun
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 i…
math.AG2024
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…