Ren-Hong Wang, Chun-Gang Zhu
Abstract
The piecewise algebraic curve is a generalization of the classical algebraic curve. This paper describes the improvement of the Nöther-type theorem of piecewise algebraic curves on the star region. Moreover, the Nöther-type theorem of piecewise algebraic curves on the cross-cut partition is discussed.
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The piecewise algebraic curve is a generalization of the classical algebraic curve. This paper describes the improvement of the Nöther-type theorem of piecewise algebraic curves on the star region. Moreover, the Nöther-type theorem of piecewise algebraic curves on the cross-cut partition is discussed.
Key concepts: Mathematics, Algebraic surface, Piecewise, Stable curve, Algebraic curve, Type (biology), Generalization, Algebraic number