Year: 2026
Type: preprint
Abstract: Given a variety $X$ with a self-map $ϕ$ and subvarieties $Y$ and $Z$ of $X$, we consider the set of $n$ for which $ϕ^n(Y)$ intersects $Z$ nontrivially. Extending a beautiful construction of Lee and Nam, we show this gives rise to an undecidable problem for a fixed ambient variety $X$ and morphism $ϕ$. We further use this construction to give a counterexample to a conjecture of the author, Satriano, and Sierra.
Source: arXiv (Cornell University)
Author: Bell, Jason
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222478356