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Preprint Number 1925

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1925. Nicolas Daans, Philip Dittmann and Arno Fehm
Existential rank and essential dimension of diophantine sets

Submission date: 13 February 2021


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.

Mathematics Subject Classification: 11U09, 12L12, 11U05, 12L05

Keywords and phrases:

Full text arXiv 2102.06941: pdf, ps.

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