On finite categories of algebraic varieties
Algebraic Geometry
2023-09-11 v1 Group Theory
Abstract
We prove that the finiteness of a finitely generated category of irreducible algebraic varieties over a field of characteristic zero is decidable. We also obtain a Burnside finiteness criterion for such a category, with applications to algebraic dynamical systems of several maps.
Keywords
Cite
@article{arxiv.2309.04080,
title = {On finite categories of algebraic varieties},
author = {Junho Peter Whang},
journal= {arXiv preprint arXiv:2309.04080},
year = {2023}
}
Comments
8 pages. Comments are welcome!