請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/65525完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 林惠雯(Hui-Wen Lin) | |
| dc.contributor.author | Kun-Hsien Chen | en |
| dc.contributor.author | 陳昆賢 | zh_TW |
| dc.date.accessioned | 2021-06-16T23:48:24Z | - |
| dc.date.available | 2012-08-15 | |
| dc.date.copyright | 2012-08-15 | |
| dc.date.issued | 2012 | |
| dc.date.submitted | 2012-07-23 | |
| dc.identifier.citation | Weronika Buczyńska. Phylogenetic toric varieties on graphs. preprints, April 2010. arXiv:1004.1183 [math.AG].
David Cox, John Little, and Hal Schenck. Toric Varieties. American Mathematical Society, 2011. Alexander Engstrom, Thomas Kahle, and Seth Sullivant. Multigraded commutative algebra of graph decompositions. preprints, February 2011. arXiv:1102.2601 [math.AC]. William Fulton. Introduction to Toric Varieties, volume 131 of Annals of Mathematics Studies. Princeton University Press, Princeton, NJ, 1993. Marco Lo Giudice. My way to algebraic geometry. 2005. Robin Hartshorne. Algebraic Geometry, volume 52 of Graduate Texts in Mathematics. Spinger-Verlag, New York, 1977. Hui-Wen Lin. Combinatorial method in adjoint linear systems on toric varieties. Michigan Math. J., 51:491–501, 2003. Seth Sullivant. Toric fiber products. J. Algebra, 316(2):560–577, 2007. ISSN 0021- 8693. doi: 10.1016/j.jalgebra.2006.10.004. URL http://dx.doi.org/10.1016/j.jalgebra.2006.10.004. Masoud Tousi and Siamak Yassemi. Tensor products of some special rings. Jour nal of Algebra, 268(2):672 – 676, 2003. ISSN 0021-8693. doi: 10.1016/S0021- 8693(03)00105-4. URL http://www.sciencedirect.com/science/article/pii/S0021869303001054. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/65525 | - |
| dc.description.abstract | 如何決定環面簇的纖維乘積的結構是環面幾何中一個重要但困難的問題。本文
以兩種不同的面相來探討這個問題。一種來自於基本的觀點，另一種採用組合交 換代數的技巧。對於第二種方式，我們將會研究在有相同 grading 的多項式環中 的兩個理想的纖維乘積。希望本文能夠對這個問題的研究有實質的幫助。 | zh_TW |
| dc.description.abstract | How to determine the toric structure of a fiber product
is an important but difficult problem in toric geometry. In this article, we adopt two different approaches toward this topic. One is from the fundamental point of view and the other uses the technique in combinatorial commutative algebra. For the latter one, we study the toric fiber product of two homogeneous ideals with respect to the same multigrading. We hope this article will be helpful to further study of toric fiber products. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-16T23:48:24Z (GMT). No. of bitstreams: 1 ntu-101-R99221016-1.pdf: 311441 bytes, checksum: 0245854de32d9f87cf594663666afd28 (MD5) Previous issue date: 2012 | en |
| dc.description.tableofcontents | Acknowledgments i
Abstract (Chinese) ii Abstract (English) iii 1 Introduction 1 2 Preliminaries 4 2.1 Fiber products .............................. 4 2.2 Review of toric geometry ......................... 5 3 Simple Fiber Products 7 3.1 Fibers of a morphism ........................... 7 3.2 Fiber product of toric projective bundles ................ 8 4 Simplest Case of Affine Toric Fiber Products 10 4.1 Main constructions ............................ 10 4.2 More examples .............................. 16 5 Multigraded Segre Products 18 5.1 The generators of toric fiber products .................. 18 5.2 Geometry of toric fiber products ..................... 22 References 25 | |
| dc.language.iso | en | |
| dc.subject | 多分次 Segre 乘積 | zh_TW |
| dc.subject | 環面簇 | zh_TW |
| dc.subject | 纖維乘積 | zh_TW |
| dc.subject | fiber products | en |
| dc.subject | toric varieties | en |
| dc.subject | multigraded Segre products | en |
| dc.title | 環面簇的纖維乘積的探討 | zh_TW |
| dc.title | A preparation step toward the study of toric fiber products | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 100-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 王金龍(Chin-Lung Wang),李元斌(Yuan-Pin Lee) | |
| dc.subject.keyword | 纖維乘積,環面簇,多分次 Segre 乘積, | zh_TW |
| dc.subject.keyword | fiber products,toric varieties,multigraded Segre products, | en |
| dc.relation.page | 25 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2012-07-23 | |
| 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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