Chen Zhao

collaborators

2 papers

math.AG2021

$L^{2}$ -representation of Hodge Modules

Junchao Shentu, Chen Zhao

Over an arbitrary compact complex space or an arbitrary germ of complex space $X$ , we provide fine resolutions of pure Hodge modules with strict supports $I C_{X} (V)$ via dif…

math.CV2020

MacPherson's Conjecture via Hörmander Estimate

Junchao Shentu, Chen Zhao

In this notes we reprove MacPherson's conjecture on $L^{2} - (n, q)$ -cohomology through Demailly's formulation of Hörmander's Estimate. This approach allows us to weaken the condition o…

L2-representation of Hodge Modules

MacPherson's Conjecture via Hörmander Estimate

$L^{2}$ -representation of Hodge Modules