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Algebro-geometric axioms for $\operatorname {DCF}_{0,m}$

Volume 243 / 2018

Omar León Sánchez Fundamenta Mathematicae 243 (2018), 1-8 MSC: 03C65, 12H05. DOI: 10.4064/fm228-11-2017 Published online: 8 June 2018

Abstract

We give an algebro-geometric first-order axiomatization of $\operatorname {DCF}_{0,m}$, the theory of differentially closed fields of characteristic zero with $m$ commuting derivations, in the spirit of the classical geometric axioms of $\operatorname {DCF}_0$ [D. Pierce and A. Pillay, J. Algebra 204 (1998)].

Authors

  • Omar León SánchezSchool of Mathematics
    University of Manchester
    Oxford Road
    Manchester, M13 9PL, United Kingdom
    e-mail

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