On the Dynamical Mordell–Lang Conjecture in Positive Characteristic

Abstract We solve the dynamical Mordell–Lang conjecture for bounded-degree dynamical systems in positive characteristic. The answer in this case disproves the original version of the $p$DML conjecture.

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Publication Details

Journal
International Mathematics Research Notices
Published
2025-05-01
DOI
https://doi.org/10.1093/imrn/rnaf115
Primary Topic
Advanced Algebra and Geometry
Type
article
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article

On the Dynamical Mordell–Lang Conjecture in Positive Characteristic

Junyi Xie, She Yang
International Mathematics Research Notices
Advanced Algebra and Geometry
article

On the Dynamical Mordell–Lang Conjecture in Positive Characteristic

Junyi Xie, She Yang
article en

Abstract

Abstract We solve the dynamical Mordell–Lang conjecture for bounded-degree dynamical systems in positive characteristic. The answer in this case disproves the original version of the $p$DML conjecture.

International Mathematics Research NoticesVol. 2025(9)
Beijing Computing Center (CN)
Openalex Percentile: Top 85%
Advanced Algebra and Geometry
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On the Dynamical Mordell–Lang Conjecture in Positive Characteristic — Junyi Xie, She Yang · International Mathematics Research Notices (2025) | TGRS Research Map | TGRS