Quantitative extensions of pluricanonical forms and closed positive currents

TL;DR

This paper develops new quantitative methods for extending pluricanonical forms and metrics of adjoint bundles, enhancing the understanding of their behavior in complex geometry.

Contribution

It introduces several Ohsawa-Takegoshi type theorems specifically for twisted pluricanonical forms and adjoint R-bundles, providing new tools in complex analysis.

Findings

Established multiple Ohsawa-Takegoshi type extension theorems

Extended pluricanonical forms and metrics of adjoint R-bundles

Enhanced techniques for complex geometric analysis

Abstract

In this article we establish several Ohsawa-Takegoshi type theorems for twisted pluricanonical forms and metrics of adjoint $\bR$-bundles.