On Endomorphism of Algebraic Varieties
Algebraic Geometry
2021-04-02 v2
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 , is an automorphism.
Cite
@article{arxiv.2103.17130,
title = {On Endomorphism of Algebraic Varieties},
author = {Nilkantha Das},
journal= {arXiv preprint arXiv:2103.17130},
year = {2021}
}
Comments
6 pages, comments are welcome