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SPECIAL BIRATIONAL TRANSFORMATIONS OF TYPE (2,1)
Fu, Baohua1,2; Hwang, Jun-Muk3
2018
Source PublicationJOURNAL OF ALGEBRAIC GEOMETRY
ISSN1056-3911
Volume27Issue:1Pages:55-89
AbstractA 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.
DOI10.1090/jag/695
Language英语
Funding ProjectNational Natural Science Foundation of China[11225106] ; National Natural Science Foundation of China[11321101] ; National Researcher Program of the NRF[2010-0020413]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000413551400003
PublisherUNIV PRESS INC
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29082
Collection数学所
Affiliation1.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
Recommended Citation
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.
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