多層扭變多重典型形式的擴張; Extensions of multiply twisted pluri-canonical form

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7956

Title:	多層扭變多重典型形式的擴張;Extensions of multiply twisted pluri-canonical form
Authors:	王賜聖;Sz-Sheng Wang
Contributors:	數學研究所
Keywords:	pluricanonical forms;invariance of plurigenera;Ohsawa-Takegoshi
Date:	2009-06-24
Issue Date:	2009-09-22 11:10:06 (UTC+8)
Publisher:	國立中央大學圖書館
Abstract:	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.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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