Geodesic
A Gap Principle for Subvarieties with Finitely Many Periodic Points
Canadian mathematical bulletin, Tome 63 (2020) no. 2, pp. 382-392

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DOI

Let $f:X\rightarrow X$ be a quasi-finite endomorphism of an algebraic variety $X$ defined over a number field $K$ and fix an initial point $a\in X$. We consider a special case of the Dynamical Mordell–Lang Conjecture, where the subvariety $V$ contains only finitely many periodic points and does not contain any positive-dimensional periodic subvariety. We show that the set $\{n\in \mathbb{Z}_{{\geqslant}0}\mid f^{n}(a)\in V\}$ satisfies a strong gap principle.
DOI : 10.4153/S0008439519000481
Mots-clés : dynamical Mordell-Lang conjecture, gap principle 
Huang, Keping. A Gap Principle for Subvarieties with Finitely Many Periodic Points. Canadian mathematical bulletin, Tome 63 (2020) no. 2, pp. 382-392. doi: 10.4153/S0008439519000481
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     title = {A {Gap} {Principle} for {Subvarieties} with {Finitely} {Many} {Periodic} {Points}},
     journal = {Canadian mathematical bulletin},
     pages = {382--392},
     year = {2020},
     volume = {63},
     number = {2},
     doi = {10.4153/S0008439519000481},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000481/}
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