Zilber's Dichotomy for Differentially Closed Fields with an Automorphism
documento de trabajo
Bustamante Medina, Ronald F.
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The theory of difference-differential fields of characteristic zero hasa model-companion denoted byDCFA. In  we prove its main properties. In we proved a weak version of Zilber’s dichotomy forDCFA. In this paperwe use arc spaces techniques as developed by Moosa, Pillay and Scanlon in to suppress the extra hypothesis needed in  and prove the full Zilber’sdichotomy forDCFA, we also state how these techniques generalise to partialdifferential fields with an automorphism.
- Matemática