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

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