Approximation of holomorphic maps by algebraic morphisms

• Autorzy: J. Bochnak , W. Kucharz
• Języki publikacji: EN

Abstrakty

EN

Let X be a nonsingular complex algebraic curve and let Y be a nonsingular rational complex algebraic surface. Given a compact subset K of X, every holomorphic map from a neighborhood of K in X into Y can be approximated by rational maps from X into Y having no poles in K. If Y is a nonsingular projective complex surface with the first Betti number nonzero, then such an approximation is impossible.

Kategorie tematyczne

• 14A10: Varieties and morphisms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 80
• Numer: 1
• Strony: 85-92

Daty

wydano

2003

Twórcy

autor

J. Bochnak

• Department of Mathematics, Vrije Universiteit, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands

autor

W. Kucharz

• Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131-1141, U.S.A.

Identyfikatory

DOI

10.4064/ap80-0-5