Abstract
Let F be an algebraically closed field of characteristic 0, and let f : F n → F. We show that f is implicitly definable by a system of polynomial equations if and only if f is a special kind of piecewise rational function.
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Presented by K. Kaarli.
The research of both authors was supported by a grant from SECYT-UNC.
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Campercholi, M.A., Vaggione, D.J. An implicit function theorem for algebraically closed fields. Algebra Univers. 65, 299–304 (2011). https://doi.org/10.1007/s00012-011-0130-7
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DOI: https://doi.org/10.1007/s00012-011-0130-7