Nöther-type theorem of piecewise algebraic curves on triangulation
2007
The piecewise algebraic curve is a kind generalization of the classical algebraic curve. Nother-type theorem of piecewise algebraic curves on the cross-cut partition is very important to construct the Lagrange interpolation sets for a bivariate spline space. In this paper, using the properties of bivariate splines, the Nother-type theorem of piecewise algebraic curves on the arbitrary triangulation is presented.
Keywords:
- Topology
- Algebraic surface
- Mathematical analysis
- Real algebraic geometry
- Function field of an algebraic variety
- Algebraic curve
- Mathematics
- Stable curve
- Discrete mathematics
- Differential algebraic geometry
- Piecewise linear manifold
- Dimension of an algebraic variety
- Algebraic function
- Bézout's theorem
- Algebraic solution
- Correction
- Source
- Cite
- Save
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