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Valued difference fields and NTP2

  • Author(s): Chernikov, A
  • Hils, M
  • et al.
Abstract

We show that the theory of the non-standard Frobenius automorphism, acting on an algebraically closed valued field of equal characteristic 0, is NTP . More generally, in the contractive as well as in the isometric case, we prove that a σ-Henselian valued difference field of equicharacteristic 0 is NTP , provided both the residue difference field and the value group (as an ordered difference group) are NTP . 2 2 2

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