1 citations · 1 across the 2 of their papers we have counts for
6 papers
Fujiki Class Varieties and a Kähler Criterion
Christopher Hacon, Yi Li, Lingyao Xie
In this article, we show that flips and divisorial contractions preserve the Kähler condition (for strongly -factorial compact Kähler generalized klt pairs with …
On the Kähler MMP and the transcendental base-point-free theorem
Christopher Hacon, Lingyao Xie
In this article, we establish the minimal model program for big gklt Kähler pairs, and in particular we prove Tosatti's transcendental base-point-free conjecture.
Transcendental Minimal Model Program for Projective Varieties
Omprokash Das, Christopher Hacon
In this article we prove that if is a projective generalized klt pair such that is big, then admits a good Minimal Model or Mori fiber space. In partic…
Two-step nilpotent monodromy of local systems on special varieties
Junyan Cao, Ya Deng, Christopher D. Hacon +1
Let be a smooth complex quasi-projective variety that is special in the sense of Campana. We prove that the monodromy group of any complex local system on is virtually nilp…
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…
Failure of Boundedness for Generalised Log Canonical Surfaces
Christopher Hacon, Xiaowei Jiang
In this paper, we construct counterexamples to the boundedness of generalised log canonical models of surfaces with fixed appropriate invariants, where the underlying varieties can…