Holomorphic bijections of algebraic sets

• Autorzy: Sławomir Cynk , Kamil Rusek
• Języki publikacji: EN

Abstrakty

EN

We prove that every holomorphic bijection of a quasi-projective algebraic set onto itself is a biholomorphism. This solves the problem posed in [CR].

Słowa kluczowe

EN

quasi-projective algebraic set; w-holomorphic mapping

Kategorie tematyczne

• 14B05: Singularities
• 32S05: Local singularities
• 32B15: Analytic subsets of affine space

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1997
• Tom: 66
• Numer: 1
• Strony: 63-66

Daty

wydano

1997

otrzymano

1995-07-12

Twórcy

autor

Sławomir Cynk

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

autor

Kamil Rusek

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Bibliografia

• [B] A. Borel, Injective endomorphisms of algebraic varieties, Arch. Math. (Basel) 20 (1969), 531-537.
• [C] S. Cynk, Primary decomposition of algebraic sheaves, preprint, 1995.
• [CR] S. Cynk and K. Rusek, Injective endomorphisms of algebraic and analytic sets, Ann. Polon. Math. 56 (1991), 29-35.
• [Ł] S. Łojasiewicz, Introduction to Complex Analytic Geometry, Birkhäuser, Basel, 1991.
• [N] K. Nowak, Injective endomorphisms of algebraic varieties, Math. Ann. 299 (1994), 769-778.
• [W] H. Whitney, Complex Analytic Varieties, Addison-Wesley, 1972.