A proof of A. Gabrielov's rank theorem
DOI10.5802/jep.173zbMath1477.13046arXiv2008.13130OpenAlexW3184312274MaRDI QIDQ2050437
Octave Curmi, Guillaume Rond, André Belotto da Silva
Publication date: 31 August 2021
Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.13130
formal power seriesWeierstrass preparation theoremlocal analytic geometryAbhyankar-Jung's theoremrank of an analytic map
Singularities in algebraic geometry (14B05) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Valuations and their generalizations for commutative rings (13A18) Polynomials and rational functions of one complex variable (30C10) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Completion of commutative rings (13B35) Valued fields (12J10) Power series rings (13J05) Analytic algebras and generalizations, preparation theorems (32B05) Formal neighborhoods in algebraic geometry (14B20)
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