| 姓名 |
王賜聖(Sz-Sheng Wang)
查詢紙本館藏 |
畢業系所 |
數學系 |
| 論文名稱 |
多層扭變多重典型形式的擴張
(Extensions of multiply twisted pluri-canonical form)
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| 相關論文 | |
| 檔案 |
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| 摘要(中) |
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。
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| 摘要(英) |
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.
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| 關鍵字(中) |
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關鍵字(英) |
★ pluricanonical forms
★ invariance of plurigenera
★ Ohsawa-Takegoshi |
| 論文目次 |
1 Introduction...........................................1
2 Preliminaries..........................................2
3 A moA modification of Siu and Păun's induction.........7
3.1 A choice of the ample line bundle..................8
3.2 Inductive procedure................................9
4 Proof of Theorem 1.1..................................14
4.1 From L^2-estimates to supremum norm estimates.....14
4.2 Siu's construction of the metric and conclusion of the proof ...17
References…………..21
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| 參考文獻 |
[1] B. Claudon;Invariance of plurigenera for multiples of the twisted canonical bundle
[2] J.-P. Demailly; Analytic approach of the minimal model program and of the abundance conjectures
[3] J.-P. Deamailly, L. Ein and R. Lazarsfeld; A subadditivity property of multiplier ideals
[4] P. Lelong and L. Gruman; Entire functions of several complex variables
[5] M. Păun; Siu's invariance of plurigenera: a one-tower proof
[6] Y.-T. Siu; Invarince of plurigenera
[7] Y.-T. Siu; Extension of twisted pluricanonical sections with plurisubharmonic weight and invariance of semipositively twisted plurigenera for manifolds not necessarily of general type
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| 指導教授 |
王金龍(Chin-Lung Wang)
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審核日期 |
2009-7-23 |
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