Abstract
In this paper we derive an upper bound for the degree of the strict invariant algebraic curve of a polynomial system in the complex project plane under generic condition. The results are obtained through the algebraic multiplicities of the system at the singular points. A method for computing the algebraic multiplicity using Newton polygon is also presented.
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© 2005 Birkhäuser Verlag Basel/Switzerland
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Lei, J., Yang, L. (2005). Algebraic Multiplicity and the Poincaré Problem. In: Wang, D., Zheng, Z. (eds) Differential Equations with Symbolic Computation. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7429-2_9
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DOI: https://doi.org/10.1007/3-7643-7429-2_9
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-7368-9
Online ISBN: 978-3-7643-7429-7
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