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math.AG2026
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 …
math.AG2026
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.
math.AG2026
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…