Year: 2026
Type: preprint
Abstract: We prove a converse to the original Skoda $L^2$ division theorem, asserting that Skoda $L^2$ division estimates for a single nonzero holomorphic function force the weight to be plurisubharmonic. In addition, we establish corresponding results for higher-rank quotient bundles. Finally, we derive an optimal $L^2$ extension theorem directly from the division estimates.
Source: arXiv (Cornell University)
Authors: Li, Zhi, Meng, Xiankui, Ning, Jiafu, Zhou, Xiangyu
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1603846912, G1619250707, G8533620077
OpenAlex ID: W7214779899