SPECIAL BIRATIONAL TRANSFORMATIONS OF TYPE (2,1)
文献类型：期刊论文
| 作者 | Fu, Baohua1,2 ; Hwang, Jun-Muk3
|
| 刊名 | JOURNAL OF ALGEBRAIC GEOMETRY
 |
| 出版日期 | 2018 |
| 卷号 | 27期号:1页码:55-89 |
| ISSN号 | 1056-3911 |
| DOI | 10.1090/jag/695 |
| 英文摘要 | A birational transformation Phi : P-n -> Z subset of PN, where Z subset of P-N is a nonsingular variety of Picard number 1, is called a special birational transformation of type (a, b) if Phi is given by a linear system of degree a, its inverse Phi(-1) is given by a linear system of degree b and the base locus S subset of P-n of F is irreducible and nonsingular. In this paper, we classify special birational transformations of type (2, 1). In addition to previous works by Alzati-Sierra and Russo on this topic, our proof employs natural C*-actions on Z in a crucial way. These C*-actions also relate our result to the prolongation problem studied in our previous work. |
| 资助项目 | National Natural Science Foundation of China[11225106] ; National Natural Science Foundation of China[11321101] ; National Researcher Program of the NRF[2010-0020413] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000413551400003 |
| 出版者 | UNIV PRESS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29081]  |
| 专题 | 数学所 |
| 通讯作者 | Fu, Baohua |
| 作者单位 | 1.Chinese Acad Sci, AMSS, Inst Math, 55 ZhongGuan Cun East Rd, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 3.Korea Inst Adv Study, Hoegiro 85, Seoul 130722, South Korea |
| 推荐引用方式 GB/T 7714 | Fu, Baohua,Hwang, Jun-Muk. SPECIAL BIRATIONAL TRANSFORMATIONS OF TYPE (2,1)[J]. JOURNAL OF ALGEBRAIC GEOMETRY,2018,27(1):55-89. |
| APA | Fu, Baohua,&Hwang, Jun-Muk.(2018).SPECIAL BIRATIONAL TRANSFORMATIONS OF TYPE (2,1).JOURNAL OF ALGEBRAIC GEOMETRY,27(1),55-89. |
| MLA | Fu, Baohua,et al."SPECIAL BIRATIONAL TRANSFORMATIONS OF TYPE (2,1)".JOURNAL OF ALGEBRAIC GEOMETRY 27.1(2018):55-89. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。