Catalogo Articoli (Spogli Riviste)

OPAC HELP

Titolo:
Etale endomorphisms of algebraic surfaces with G(m)-actions
Autore:
Masuda, K; Miyanishi, M;
Indirizzi:
Himeji Inst Technol, Dept Math, Himeji, Hyogo 67122, Japan Himeji Inst Technol Himeji Hyogo Japan 67122 , Himeji, Hyogo 67122, Japan Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 560, Japan Osaka Univ Toyonaka Osaka Japan 560 Dept Math, Toyonaka, Osaka 560, Japan
Titolo Testata:
MATHEMATISCHE ANNALEN
fascicolo: 3, volume: 319, anno: 2001,
pagine: 493 - 516
SICI:
0025-5831(200103)319:3<493:EEOASW>2.0.ZU;2-L
Fonte:
ISI
Lingua:
ENG
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
10
Recensione:
Indirizzi per estratti:
Indirizzo: Masuda, K Himeji Inst Technol, Dept Math, 2147 Shosha, Himeji, Hyogo 67122, Japan Himeji Inst Technol 2147 Shosha Himeji Hyogo Japan 67122 , Japan
Citazione:
K. Masuda e M. Miyanishi, "Etale endomorphisms of algebraic surfaces with G(m)-actions", MATH ANNAL, 319(3), 2001, pp. 493-516

Abstract

Let X be an algebraic surface defined over the complex field C and endowedwith an A(*)(1)-fibration. As such a surface we have a Platonic A(*)(1)-fiber space, a weighted hypersurface with its singular point deleted off and,more generally, an affine algebraic surface with an unmixed G(m)-action and its fixpoint deleted off. We consider an etale endomorphism phi : X --> Xand show that phi is an automorphism in most cases. Of particular interestis the case of a Platonic A(*)(1)-fiber space, for which phi being an automorphism is closely related to the Jacobian Problem for the affine plane A(2). We also investigate the automorphism group of such surfaces.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 26/11/20 alle ore 11:36:43