Injective endomorphisms of algebraic and analytic sets
Volume 56 / 1991
Annales Polonici Mathematici 56 (1991), 29-35
DOI: 10.4064/ap-56-1-29-35
Abstract
We prove that every injective endomorphism of an affine algebraic variety over an algebraically closed field of characteristic zero is an automorphism. We also construct an analytic curve in ℂ⁶ and its holomorphic bijection which is not a biholomorphism.
