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arXiv · 2102.06941

Existential rank and essential dimension of diophantine sets

Nicolas Daans·Philip Dittmann·Arno Fehm
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Abstract

We study the minimal number of existential quantifiers needed to define a diophantine set over a field and relate this number to the essential dimension of the functor of points associated to such a definition.

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Nicolas Daans, Philip Dittmann, Arno Fehm. 2021-02-13. Existential rank and essential dimension of diophantine sets. https://arxiv.org/abs/2102.06941

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