• Corpus ID: 231924718

Existential rank and essential dimension of diophantine sets

@inproceedings{Daans2021ExistentialRA,
  title={Existential rank and essential dimension of diophantine sets},
  author={Nicolas Daans and Philip Dittmann and Arno Fehm},
  year={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. 
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2 Citations

2 Citations

Citation Type

Citation Type

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NOTES ON THE DPRM PROPERTY FOR LISTABLE STRUCTURES
  • H. Pastén
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  • 2021
Abstract A celebrated result by Davis, Putnam, Robinson, and Matiyasevich shows that a set of integers is listable if and only if it is positive existentially definable in the language of arithmetic.…

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NOTES ON THE DPRM PROPERTY FOR LISTABLE STRUCTURES
  • H. Pastén
  • Mathematics
    The Journal of Symbolic Logic
  • 2021
Abstract A celebrated result by Davis, Putnam, Robinson, and Matiyasevich shows that a set of integers is listable if and only if it is positive existentially definable in the language of arithmetic.…
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