The differential Galois group of the rational function field
نویسندگان
چکیده
We determine the absolute differential Galois group of field C(x) rational functions: It is free proalgebraic on a set cardinality |C|. This solves longstanding open problem posed by B.H. Matzat. For proof we develop new characterization groups in terms split embedding problems, and use patching techniques order to solve very general class problems. Our result about also applies function fields over more coefficients.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2021
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2021.107605