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Geometrically Nilpotent Subvarieties

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.

preprint2015arXivOpen access
Alexander Borisov
math.DSmath.AGmath.NT
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Alexander Borisov

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