Potential density under int-amplified endomorphisms
Let be a number field and let be a projective variety defined over . A variety satisfies potential density if there is a finite field extension such that is Zariski dense in , where . An endomorphism of is int-amplified if it is int-amplified in the sense used in the paper.
Potential density under int-amplified endomorphisms. If admits an int-amplified endomorphism, then satisfies potential density.
This conjecture links arithmetic potential density with the geometry and dynamics of projective varieties admitting int-amplified endomorphisms. The parser supplies no evidence that it has been resolved, so its status remains open.
References
Primary source
Jia Jia, Takahiro Shibata and De-Qi Zhang, “Potential density of projective varieties having an int-amplified endomorphism”, arXiv:2108.11595 (2021).
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