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2017 A monodromy criterion for a type of degenerate system defined by the sum of two homogeneous vector fields
Tusen Huang, Lijun Zhang
Rocky Mountain J. Math. 47(7): 2255-2275 (2017). DOI: 10.1216/RMJ-2017-47-7-2255

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}.

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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

Information

Published: 2017
First available in Project Euclid: 24 December 2017

zbMATH: 06828639
MathSciNet: MR3748230
Digital Object Identifier: 10.1216/RMJ-2017-47-7-2255

Subjects:
Primary: 34C05, 34C07

Rights: Copyright © 2017 Rocky Mountain Mathematics Consortium

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Vol.47 • No. 7 • 2017
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