SPECIAL BIRATIONAL TRANSFORMATIONS OF TYPE (2,1)

doi:10.1090/jag/695

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	SPECIAL BIRATIONAL TRANSFORMATIONS OF TYPE (2,1)
	Fu, Baohua1,2 ; Hwang, Jun-Muk 3
	2018
发表期刊	JOURNAL OF ALGEBRAIC GEOMETRY
ISSN	1056-3911
卷号	27 期号:1 页码:55-89
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.
DOI	10.1090/jag/695
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000413551400003
出版者	UNIV PRESS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29082
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.