Geodesic
Injective endomorphisms of algebraic and analytic sets
Annales Polonici Mathematici, Volume 56 (1991) no. 1, pp. 29-35

See the original article notice from the Institute of Mathematics Polish Academy of Sciences source

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. 
Sławomir Cynk; Kamil Rusek. Injective endomorphisms of algebraic and analytic sets. Annales Polonici Mathematici, Volume 56 (1991) no. 1, pp. 29-35. doi: 10.4064/ap-56-1-29-35
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