Injective endomorphisms of algebraic and analytic sets
Sławomir Cynk ; Kamil Rusek
Annales Polonici Mathematici, Tome 55 (1991), p. 29-35 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1991-01-01
EUDML-ID : urn:eudml:doc:262495 
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     year = {1991},
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Sławomir Cynk; Kamil Rusek. Injective endomorphisms of algebraic and analytic sets. Annales Polonici Mathematici, Tome 55 (1991) pp. 29-35. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv56z1p29bwm/

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