activity
20122026
most citedNumerical dimension and a Kawamata-Viehweg-Nadel type vanishing theorem on compact Kähler manifolds

54 citations · 135 across the 21 of their papers we have counts for

collaborators

22 papers

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…

math.DG2023

Geometry of -trivial Moishezon manifolds : decomposition theorem and holomorphic geometric structures

Indranil Biswas, Junyan Cao, Sorin Dumitrescu +1

Let be a compact complex manifold such that its canonical bundle is numerically trivial. Assume additionally that is Moishezon or is Fujiki with dimension at most…

math.AG2023

-lemmas and a conjecture of O. Fujino

Junyan Cao, Mihai Păun

It contains the proof of a very general -lemma, together with a decomposition theorem for currents with values in a (singular) Hermitian line bundle. As a cor…

math.DG2023★ 1 cited

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…

math.AG2023

Direct images of pseudoeffective cotangent bundles

Junyan Cao, Andreas Höring

Let A be an elliptic curve, and let be the Serre vector bundle on A. A famous example of Demailly-Peternell-Schneider shows that the tautological class of contains a un…

cs.CV2022

Audio-Visual Face Reenactment

Madhav Agarwal, Rudrabha Mukhopadhyay, Vinay Namboodiri +1

This work proposes a novel method to generate realistic talking head videos using audio and visual streams. We animate a source image by transferring head motion from a driving vid…