6 papers · 1 filter
MMP for Generalized Pairs on Kähler 3-folds
Omprokash Das, Christopher Hacon, José Ignacio Yáñez
In this article we define generalized pairs where is an analytic variety and is a b-(1,1) current. We then prove that almost all standard…
On Pseudo-Effectivity and Volumes of Adjoint Classes in Kähler Families with Projective Central Fiber
Christopher D. Hacon, Yi Li, Sheng Rao
This paper is devoted to studying the deformation behavior of pseudo-effective canonical divisors and volumes of adjoint classes in Kähler families. Based on recent developments i…
Bott-Chern complexity of Kähler pairs
Christopher Hacon, JoaquÃn Moraga, José Ignacio Yáñez
We introduce the Bott-Chern complexity of a compact Kähler pair . This invariant compares , and the sum of the coefficients of . When…
On birational boundedness of foliated surfaces
Christopher D. Hacon, Adrian Langer
In this paper we prove a result on the effective generation of pluri-canonical linear systems on foliated surfaces of general type. Fix a function $P: \mathbb Z_{\geq 0}\to \mathbb…
On the Minimal Model Program for Kähler 3-folds
Omprokash Das, Christopher Hacon
In this article we prove the existence of pl-flipping and divisorial contractions and pl flips in dimension for compact Kähler varieties, assuming results of the minimal model…
On the -dimensional minimal model program for Kähler varieties
Omprokash Das, Christopher Hacon, Mihai PÄun
In this article we establish the following results: Let be a dlt pair, where is a -factorial Kähler -fold -- (i) if is compact and $K_X+B\sim_{\math…