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math.DS2011
Comments about Hilbert's 16'th problem
John Atwell Moody
Local analytic germs can be simultaneously deformed equivariantly for the flow if there is one holomorphic solution whose degree is high compared to local discrepancy.
math.CV2011
Arc lifting for the Nash manifold
John Atwell Moody
A theorem of Functorial Affinization of Nash's manifold is proven here giving necessary and sufficient conditions to lift a holomorphic arc to the smooth locus of the Nash manifold…