Automorphisms mapping a point into a subvariety
Algebraic Geometry
2017-04-03 v1 Number Theory
Abstract
The problem of deciding, given a complex variety X, a point x in X, and a subvariety Z of X, whether there is an automorphism of X mapping x into Z is proved undecidable. Along the way, we prove the undecidability of a version of Hilbert's tenth problem for systems of polynomials over Z defining an affine Q-variety whose projective closure is smooth.
Cite
@article{arxiv.0902.3571,
title = {Automorphisms mapping a point into a subvariety},
author = {Bjorn Poonen},
journal= {arXiv preprint arXiv:0902.3571},
year = {2017}
}
Comments
5 pages