Existential rank and essential dimension of diophantine sets
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2021
- DOI:
- 10.48550/arXiv.2102.06941
- arXiv:
- arXiv:2102.06941
- Bibcode:
- 2021arXiv210206941D
- Keywords:
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- Mathematics - Number Theory;
- Mathematics - Logic;
- 11U09;
- 12L12;
- 11U05;
- 12L05
- E-Print:
- Expanded results in Section 7, otherwise minor changes