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This article is cited in 2 scientific papers (total in 2 papers)
Newton diagrams and algebraic curves
P. P. Zabreiko, A. V. Krivko-Krasko Belarusian State University
Abstract:
It is shown that the Newton diagram for polynomial in two variables allows us to give a full analysis of
the behavior of the corresponding algebraic curve in the neighborhood of the infinity. This analysis reduces
to the constraction of Euler tree for the polynomial under consideration. This construction the logic of the
Euler classification of algebraic curves and is its natural generalization.
Received: 29.05.2014
Citation:
P. P. Zabreiko, A. V. Krivko-Krasko, “Newton diagrams and algebraic curves”, Tr. Inst. Mat., 22:2 (2014), 32–45
Linking options:
https://www.mathnet.ru/eng/timb218 https://www.mathnet.ru/eng/timb/v22/i2/p32
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Abstract page: | 631 | Full-text PDF : | 538 | References: | 55 |
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