在本篇文章中，我們主要的工具是Ohsawa-Takegoshi定理，這是由蕭蔭堂老師所敘述並証明的版本[7]。透過Păun在[5]証明多重虧格不變性定理所使用的技巧，我們証明了在光滑射影族的纖維上，附帶著某種可積性的多重典型形式，可以被擴張到整個光滑射影族。 Using Siu's version of the Ohsawa-Takegoshi theorem and the techniques in proving the invariance of plurigenera developed by Siu [7] and Păun [5], we show that for a smooth projective family pluri-canonical forms with integrable pseudo-effective twi- sted coefficients may be lifted from the central fiber to the ambient family.
