2 papers
math.AG2025
Grauert's direct image theorem via superconnections and desingularizations
Shu Shen, Jianqing Yu
We give a new differential-geometric proof of Grauert's theorem on the coherence of the higher direct image of a coherent sheaf under a proper holomorphic morphism between complex…
math.DG2025
Geometric Zabrodin-Wiegmann conjecture for integer Quantum Hall states
Shu Shen, Jianqing Yu
The purpose of this article is to show a geometric version of Zabrodin-Wiegmann conjecture for an integer Quantum Hall state. Given an effective reduced divisor on a compact connec…