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Interpolation on Real Algebraic Curves to Polynomial Data
Published 2013-04-01Subjects: “…algebraic curves…”
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Quantum codes from algebraic curves with automorphisms
Published 2008-06-01Subjects: “…algebraic curves…”
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Necessary and sufficient conditions for the existence of invariant algebraic curves
Published 2021-07-01Subjects: “…invariant algebraic curves…”
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The Intersection Multiplicity of Intersection Points over Algebraic Curves
Published 2023-01-01“…In analytic geometry, Bézout’s theorem stated the number of intersection points of two algebraic curves and Fulton introduced the intersection multiplicity of two curves at some point in local case. …”
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On a class of invariant algebraic curves for Kukles systems
Published 2016-08-01“…In this paper we give a new upper bound for the degree of a class of transversal to infinity invariant algebraic curves for polynomial Kukles systems of arbitrary degree. …”
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Degeneration of the Julia set to singular loci of algebraic curves
Published 2013-06-01“…We show that, when a non-integrable rational map changes to an integrable one continuously, a large part of the Julia set of the map approach indeterminate points (IDP) of the map along algebraic curves. We will see that the IDPs are singular loci of the curves.…”
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