請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/34080完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳榮凱(Jungkai Alfred Chen) | |
| dc.contributor.author | Yih Sung | en |
| dc.contributor.author | 宋易 | zh_TW |
| dc.date.accessioned | 2021-06-13T05:53:39Z | - |
| dc.date.available | 2006-07-24 | |
| dc.date.copyright | 2006-07-24 | |
| dc.date.issued | 2006 | |
| dc.date.submitted | 2006-07-03 | |
| dc.identifier.citation | [Ac] A. Craw, An introduction to motivic integration,
math.AG/9911179. [AHK] V. Alexeev - C. Hacon - Y. Kawamata, Termination of (many) 4-dimensional log flips, 2006, preprint. [Ar] M. Artin, Neron Models, Arithmetic Geometry (G. Cornell and J. Sil-verman eds.), Springer Verlag, 1986, 213-230. [DL] J. Denef - F. Loeser, Germs of arcs on singular algebraic varieties andmotivic integration, Invent. Math. 135 (1999), 201-232. [KM] J.Kollar, S. Mori , Birational Geometry of Algebraic Varieties, Cam-bridge University Press 134. [KMM] Y. Kawamata - K. Matsuda - K. Matsuki, Introduction to the Min-imal Model Problem, Algebraic Geometry, Sendai, Adv. Stud. Pure Math. vol 10. T. Oda ed., Kinokuniya - North-Holland, 1987, 283-360. [Ko1] J. Kollar, Flops, Nagoya Math. J. 113 (1989), 14-36. [Ko2] J. Kollar, Flips and Abundance Algebraic Threefolds, ASTERISQUE 211. [Ma] K. Matsuki, Introduction to the Mori Program, Universitext, Springer-Verlag(2002). [Ve] W. Veys, Arc spaces, motivic integration and stringy invariants. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/34080 | - |
| dc.description.abstract | 在這篇論文裡, 我們回顧了一些處理翻轉終止猜想的古典技巧, 並且對於三維上的對數翻轉(log flip)終止定理做了完整的證明. 除此之外, 我們提出了一個新的不變量, 希望未來能用來偵測出每一次翻轉後的變化. | zh_TW |
| dc.description.abstract | In this paper, we will show the classical techniques in dealing with the conjecture of termination of flips and we will show the complete proof of termination of log flips in dimension three. Besides, we provide a new invariant which might be contribute to detection the variation in each flip. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T05:53:39Z (GMT). No. of bitstreams: 1 ntu-95-R93221003-1.pdf: 285253 bytes, checksum: 1bd4c5e3debfbd08a59096659a6f347e (MD5) Previous issue date: 2006 | en |
| dc.description.tableofcontents | 1 Introduction 3
1.1 Notations and Basic Definitions . . . . . . . . . . . . 4 2 Termination of Flips 7 2.1 Surface Singularities . . . . . . . . . . . . . . . . . 8 2.2 Zariski's Theorem . . . . . . . . . . . . . . . . . . .10 2.3 Termination of Flip in The 3Folds . . . . . . . . . . .12 2.4 Termination of Flip in The 4Folds . . . . . . . . . . .14 2.5 Termination of Log Flips in The 3Folds . . . . . . . . 16 2.6 Finiteness of Log Difficulty . . . . . . . . . . . . . 19 3 Motivic Methods 22 3.1 Basic Notations and Facts . . . . . . . . . . . . . . .22 3.2 Invariants K (X) and k (X) . . . . . . . . . . . . . . 24 3.3 Final Remark . . . . . . . . . . . . . . . . . . . . . 28 | |
| dc.language.iso | en | |
| dc.subject | 猜想 | zh_TW |
| dc.subject | 翻轉終止 | zh_TW |
| dc.subject | 極小模型 | zh_TW |
| dc.subject | MMP | en |
| dc.subject | Termination of Flips | en |
| dc.subject | conjecture | en |
| dc.title | 極小模型上的翻轉終止猜想 | zh_TW |
| dc.title | The Conjecture of Termination of Flips in Minimum Model Program | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 94-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 王金龍(CHIN-LUNG WANG),蔡宜洵(I-Hsun Tsai) | |
| dc.subject.keyword | 翻轉終止,極小模型,猜想, | zh_TW |
| dc.subject.keyword | Termination of Flips,MMP,conjecture, | en |
| dc.relation.page | 29 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2006-07-04 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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