Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-22T14:59:11.594Z Has data issue: false hasContentIssue false
  • English
  • Français

BAD FIELDS WITH TORSION

Published online by Cambridge University Press:  13 March 2015

JUAN DIEGO CAYCEDO  and
MARTIN HILS
JUAN DIEGO CAYCEDO
Affiliation:
MATHEMATISCHES INSTITUT, ALBERT-LUDWIGS-UNIVERSITÄT FREIBURG, ECKERSTR. 1, 79104 FREIBURG, GERMANYE-mail: [email protected]
MARTIN HILS
Affiliation:
UNIV PARIS DIDEROT, SORBONNE PARIS CITÉ, UMR 7586, INSTITUT DE MATHÉMATIQUES DE JUSSIEU – PARIS RIVE GAUCHE, BÂTIMENT SOPHIE GERMAIN, CASE 7012, F-75213 PARIS, FRANCE ÉCOLE NORMALE SUPÉRIEURE, DÉPARTEMENT DE MATHÉMATIQUES ET APPLICATIONS, 45 RUE D’ULM, 75230 PARIS CEDEX 05, (UMR 8553 DU CNRS)FRANCEE-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

We extend the construction of bad fields of characteristic zero to the case of arbitrary prescribed divisible green torsion.

Keywords

Primary: 03C65Secondary: 03C50Model Theoryfields of finite Morley Rank
Type
Articles
Information
The Journal of Symbolic Logic , Volume 80 , Issue 1 , March 2015 , pp. 221 - 233
Copyright
Copyright © The Association for Symbolic Logic 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Baudisch, Andreas, Hils, Martin, Martin Pizarro, Amador, and Wagner, Frank O., Die böse Farbe. Journal of the Institute of Mathematics of Jussieu, vol. 8 (2009), no. 3, pp. 415–443.CrossRefGoogle Scholar
Bays, Martin, Gavrilovich, Misha, and Hils, Martin, Some definability results in abstract Kummer theory. International Mathematics Research Notices, Apr 2013, rnt057.Google Scholar
Caycedo, Juan Diego, em Expansions of 1-dimensional algebraic groups by a predicate for a subgroup, D.Phil. Thesis, University of Oxford, Oxford, 2011.Google Scholar
Hils, Martin, Generic automorphisms and green fields. Journal of the London Mathematical Society (2), vol. 85 (2012), no. 2, pp. 223–244.Google Scholar
Laurent, Michel, Équations diophantiennes exponentielles. Inventiones mathematicae, vol. 78 (1984), no. 2, pp. 299–327.Google Scholar
Poizat, Bruno, L’égalité au cube, this Journal, vol. 66 (2001), no. 4, pp. 1647–1676.Google Scholar
Wagner, Frank O., Bad fields in positive characteristic. Bulletin of Symbolic Logic, vol. 35 (2003), pp. 499–502.Google Scholar
Zilber, Boris, Exponential sums equations and the Schanuel conjecture. Journal of the London Mathematical Society (2), vol. 65 (2002), no. 1, pp. 27–44.Google Scholar
Zilber, Boris, Covers of the multiplicative group of an algebraically closed field of characteristic zero. Journal of the London Mathematical Society (2), vol. 74 (2006), no. 1, pp. 41–58.Google Scholar
Zilber, Boris, The theory of exponential sums, preprint, 2011.Google Scholar