Author:
KOWALSKI PIOTR,RANDRIAMBOLOLONA SERGE
Abstract
AbstractWe prove that if a strongly minimal nonlocally modular reduct of an algebraically closed valued field of characteristic 0 contains +, then this reduct is bi-interpretable with the underlying field.
Publisher
Cambridge University Press (CUP)
Reference24 articles.
1. [15] Marker David , and Pillay Anand , Reducts of (ℂ, +,⋅) which contain +, this Journal, vol. 55 (1990), no. 3, pp. 1243–1251.
2. Cell decompositions of C-minimal structures
3. [4] Haskell D. , Hrushovski E. , and Macpherson D. , Stable Domination and Independence in Algebraically Closed Valued Fields , Lecture Notes in Logic, Cambridge University Press, 2008.
4. Zariski geometries
5. The Theory of Classical Valuations
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Very ampleness in strongly minimal sets;Model Theory;2024-07-19
2. Strongly minimal groups in o-minimal structures;Journal of the European Mathematical Society;2021-05-28