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Quantifier elimination for valued fields equipped with an automorphism

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2015-10-01
Durhan, Salih
ONAY, GÖNENÇ
We generalize and unify various tools from the study of valued fields equipped with an automorphism to obtain a relative quantifier elimination result for such fields. Along the way we point how the techniques we employ relate to a classical result from tropical geometry. The quantifier elimination result we provide is then applied to the transseries field equipped with the automorphism which sends to .