Differential Signatures of Algebraic Curves
نویسندگان
چکیده
منابع مشابه
Algebraic invariant curves of plane polynomial differential systems
We consider a plane polynomial vector field P(x, y) dx +Q(x, y) dy of degree m > 1. With each algebraic invariant curve of such a field we associate a compact Riemann surface with the meromorphic differential ω = dx/P = dy/Q. The asymptotic estimate of the degree of an arbitrary algebraic invariant curve is found. In the smooth case this estimate has already been found by Cerveau and Lins Neto ...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Algebra and Geometry
سال: 2020
ISSN: 2470-6566
DOI: 10.1137/19m1242859