1 citations · 1 across the 7 of their papers we have counts for
7 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.
Two-step nilpotent monodromy of local systems on special varieties
Junyan Cao, Ya Deng, Christopher D. Hacon +1
We address a question of Campana by giving a criterion for when nilpotent local systems on quasi-projective varieties have 2-step nilpotent monodromy. As an application, we prove t…
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…
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 particula…
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…