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arXiv · 2103.17130

On Endomorphism of Algebraic Varieties

Nilkantha Das
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Abstract

We prove that a quasi-finite endomorphism of an algebraic variety over an algebraically closed field of characteristic zero, that is injective on the complement of a closed subvariety, is an automorphism. We also prove that an endomorphism of complex algebraic variety that is injective on the complement of a closed subvariety of codimension at least $2$, is an automorphism.

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Nilkantha Das. 2021-03-31. On Endomorphism of Algebraic Varieties. https://arxiv.org/abs/2103.17130

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