2020/06/23 by Ronald F. Bustamante Medina, Medina, Ronald F. Bustamante
Mathematics · Physics and Astronomy · #11U09 #12H05 #12H10 #Advanced Topics in Algebra #FOS: Mathematics #Logic (math.LO) #Nonlinear Waves and Solitons #Numerical methods for differential equations
paper · pdf · doi:10.48550/arxiv.2006.12673
openalex publication_date 2020/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The theory of difference-differential fields of characteristic zero has a model-companion denoted by \it DCFA. Previously we proved a weak version of Zilber's dichotomy for \it DCFA. In this paper we use arc spaces techniques as developed by Moosa, Pillay and Scanlon to suppress the extra hypothesis needed before and prove the full Zilber's dichotomy for \it DCFA, we also state how these techniques generalise to partial differential fields with an automorphism.