語系:
繁體中文
English
說明(常見問題)
回圖書館首頁
手機版館藏查詢
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Height estimates for rational maps.
~
Lee, ChongGyu (Joey).
FindBook
Google Book
Amazon
博客來
Height estimates for rational maps.
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Height estimates for rational maps./
作者:
Lee, ChongGyu (Joey).
面頁冊數:
72 p.
附註:
Source: Dissertation Abstracts International, Volume: 71-11, Section: B, page: 6808.
Contained By:
Dissertation Abstracts International71-11B.
標題:
Applied Mathematics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3430193
ISBN:
9781124302089
Height estimates for rational maps.
Lee, ChongGyu (Joey).
Height estimates for rational maps.
- 72 p.
Source: Dissertation Abstracts International, Volume: 71-11, Section: B, page: 6808.
Thesis (Ph.D.)--Brown University, 2010.
There is a good inequality between the height of a point and the height of the image of the point by given morphism. When we have a rational map, then it is invalid because the functorial property fails. However, we can find a weaker inequality by introducing a new invariant of a rational map, the D-ratio. By observing the geometric definition of the degree of a morphism, we define the D-ratio of a rational map. The D-ratio of a rational map will serve an important role in height inequalities for a rational map as the degree does for a morphism. In Chapter 2, the author gives preliminaries including the resolution of indeterminacy. In Chapter 3, the author defines An -effectiveness of divisors, which is essential in defining the main concept of the dissertation, and the D-ratio, the main idea of this work. We give some applications to height inequalities in Chapter 4 and to arithmetic dynamics in Chapter 5. We have a detailed example of a regular affine automorphism in Chapter 6. Finally, the author introduces further questions and future work in Chapter 7.
ISBN: 9781124302089Subjects--Topical Terms:
1669109
Applied Mathematics.
Height estimates for rational maps.
LDR
:01923nam 2200277 4500
001
1396636
005
20110610084502.5
008
130515s2010 ||||||||||||||||| ||eng d
020
$a
9781124302089
035
$a
(UMI)AAI3430193
035
$a
AAI3430193
040
$a
UMI
$c
UMI
100
1
$a
Lee, ChongGyu (Joey).
$3
1675424
245
1 0
$a
Height estimates for rational maps.
300
$a
72 p.
500
$a
Source: Dissertation Abstracts International, Volume: 71-11, Section: B, page: 6808.
500
$a
Adviser: Joseph H. Silverman.
502
$a
Thesis (Ph.D.)--Brown University, 2010.
520
$a
There is a good inequality between the height of a point and the height of the image of the point by given morphism. When we have a rational map, then it is invalid because the functorial property fails. However, we can find a weaker inequality by introducing a new invariant of a rational map, the D-ratio. By observing the geometric definition of the degree of a morphism, we define the D-ratio of a rational map. The D-ratio of a rational map will serve an important role in height inequalities for a rational map as the degree does for a morphism. In Chapter 2, the author gives preliminaries including the resolution of indeterminacy. In Chapter 3, the author defines An -effectiveness of divisors, which is essential in defining the main concept of the dissertation, and the D-ratio, the main idea of this work. We give some applications to height inequalities in Chapter 4 and to arithmetic dynamics in Chapter 5. We have a detailed example of a regular affine automorphism in Chapter 6. Finally, the author introduces further questions and future work in Chapter 7.
590
$a
School code: 0024.
650
4
$a
Applied Mathematics.
$3
1669109
650
4
$a
Mathematics.
$3
515831
690
$a
0364
690
$a
0405
710
2
$a
Brown University.
$3
766761
773
0
$t
Dissertation Abstracts International
$g
71-11B.
790
1 0
$a
Silverman, Joseph H.,
$e
advisor
790
$a
0024
791
$a
Ph.D.
792
$a
2010
856
4 0
$u
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3430193
筆 0 讀者評論
館藏地:
全部
電子資源
出版年:
卷號:
館藏
1 筆 • 頁數 1 •
1
條碼號
典藏地名稱
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
W9159775
電子資源
11.線上閱覽_V
電子書
EB
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
評論
新增評論
分享你的心得
Export
取書館
處理中
...
變更密碼
登入