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Separation of algebraic sets and the Łojasiewicz exponent of polynomial mappings

✍ Scribed by Ewa Cygan; Tadeusz Krasiński; Piotr Tworzewski

Publisher: Springer-Verlag
Year: 1999
Tongue: English
Weight: 133 KB
Volume: 136
Category: Article
ISSN: 0020-9910
DOI: 10.1007/s002220050304

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In this note, we study the relation between the existence of algebraic invariants and integrability for planar polynomial systems. It is proved, under certain genericity conditions, that if the sum of the degrees of the algebraic invariants exceeds the degree of the polynomial system by one, then th