121 citations · 411 across the 24 of their papers we have counts for
29 papers
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…
Hermite--Einstein metrics in singular settings
Junyan Cao, Patrick Graf, Philipp Naumann +3
In this article we pursue the following main goals. In the first place, we establish the existence of "estimable" Hermite--Einstein metrics for stable reflexive coherent sheaves on…
Infinitesimal extension of pluricanonical forms
Junyan Cao, Mihai Paun
The current paper represents the first part: it contains the results concerning the lifting of twisted canonical sections defined on an infinitesimal neighborhood of the central fi…
On the Ohsawa-Takegoshi extension theorem
Junyan Cao, Mihai Paun
We establish a new extension result for twisted canonical forms defined on a hypersurface with simple normal crossings of a projective manifold. Some of the examples presented in t…
Subharmonicity of direct images and applications
Frédéric Campana, Junyan Cao, Mihai Păun
In this article we establish new positivity properties for direct images of twisted pluricanonical bundle of an algebraic fiber space. As a corollary we obtain an algebraicity crit…
Algebraic fiber spaces and curvature of higher direct images
Bo Berndtsson, Mihai Paun, Xu Wang
In this article we are interested in the differential geometric properties of certain higher direct images of exterior powers of the sheaf of relative differentials twisted with a…