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Analytic classification of saddle nodes
2005
Transactions of the Moscow Mathematical Society
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Isolated degenerate elementary singular points (saddle nodes) of germs of holomorphic vector fields in (C 2 , 0) are studied. An analytic classification of them is obtained; it is shown that the analytic classification has two times more moduli (numeric and functional) than the orbital analytic classification. A theorem on sectorial normalization is proved.
doi:10.1090/s0077-1554-05-00151-2
fatcat:qros7mosgzhmjb2o5xlcrydhlm