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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.

5 nodes4 linksoverview mapGeometrically Nilpotent Subvarieties
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AuthorshipTopic signalTopic signalTopic signalWGeometrically Nilpotent Subvari...preprint / 2015AAlexander BorisovResearcherTmath.DS4970 worksTmath.NT5493 worksTmath.AG5393 works
PaperSignal 104 links

Geometrically Nilpotent Subvarieties

preprint / 2015

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