Holomorphic bijections of algebraic sets

Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

Sławomir Cynk, Kamil Rusek Annales Polonici Mathematici 66 (1997), 63-66 DOI: 10.4064/ap-66-1-63-66

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