Junyan Cao

activity

20172026

most citedA decomposition theorem for projective manifolds with nef anticanonical bundle

4 citations · 7 across the 7 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.DG2023

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

Indranil Biswas, Junyan Cao, Sorin Dumitrescu +1

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

math.AG2023

$\partial \partial ˉ$ -lemmas and a conjecture of O. Fujino

Junyan Cao, Mihai Păun

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

math.DG2023

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 $V_{A}$ be the Serre vector bundle on A. A famous example of Demailly-Peternell-Schneider shows that the tautological class of $V_{A}$ contains a un…

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

∂∂ˉ-lemmas and a conjecture of O. Fujino

Hermite--Einstein metrics in singular settings

Direct images of pseudoeffective cotangent bundles

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

$\partial \partial ˉ$ -lemmas and a conjecture of O. Fujino