Geometrically Nilpotent Subvarieties
Number Theory
2015-05-14 v1 Algebraic Geometry
Dynamical Systems
Abstract
We construct some examples of polynomial maps over finite fields that admit subvarieties with a peculiar property: every geometric point is mapped to a fixed point by some iteration of the map, while the whole subvariety is not. Several related open questions are stated and discussed.
Cite
@article{arxiv.1505.03237,
title = {Geometrically Nilpotent Subvarieties},
author = {Alexander Borisov},
journal= {arXiv preprint arXiv:1505.03237},
year = {2015}
}
Comments
5 pages