Geometrically Nilpotent Subvarieties
classification
🧮 math.NT
math.AGmath.DS
keywords
pointsomesubvarietiesadmitconstructdiscussedeveryexamples
read the original abstract
We construct some examples of polynomial maps over finite fields that admit subvarieties with a peculiar property: every geometric point is mapped to a fixed point by some iteration of the map, while the whole subvariety is not. Several related open questions are stated and discussed.
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