Displaying similar documents to “Jacobian problem for factorial varieties.”

On flat covers in varieties

David Kruml (2008)

Commentationes Mathematicae Universitatis Carolinae

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Flat covers do not exist in all varieties. We give a necessary condition for the existence of flat covers and some examples of varieties where not all algebras have flat covers.

Injective endomorphisms of algebraic and analytic sets

Sławomir Cynk, Kamil Rusek (1991)

Annales Polonici Mathematici

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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.