Elementary equivalence versus Isomorphism
arXiv:math/0109144 · doi:10.1007/s00222-002-0238-7
Abstract
How does the first order language of fields encode birational invariants of varieties?... This question is related to rational points on varieties and effectiveness in algebraic/arithmetic geometry.
References in corpus (1)
Cited by in corpus (7)
- Elementary equivalence versus Isomorphism
- Uniform first-order definitions in finitely generated fields
- First-order definitions in function fields over anti-Mordellic fields
- Distinguishing every finitely generated field of characteristic \neq2 by a single field axiom
- Defining Subrings in Finitely Generated Fields of All Characteristics
- Characterizing finitely generated fields by a single field axiom
- On elementary equivalence, isomorphism and isogeny of arithmetic function fields