Abstract
In this paper, a type of degenerate system defined by the sum of two homogeneous vector fields is studied. By means of a blow-up technique and a classification theorem, a monodromy criterion of an isolated singular point is presented and proven. An example is given to illustrate that our result generalizes the corresponding result in~\cite {Gas00}.
Citation
Tusen Huang. Lijun Zhang. "A monodromy criterion for a type of degenerate system defined by the sum of two homogeneous vector fields." Rocky Mountain J. Math. 47 (7) 2255 - 2275, 2017. https://doi.org/10.1216/RMJ-2017-47-7-2255
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