Cayley-Bacharach theorem of piecewise algebraic curves.

DOI10.1016/j.cam.2003.08.072zbMath1070.14034OpenAlexW2060201773MaRDI QIDQ1427250

Chun-Gang Zhu, Ren-Hong Wang

Publication date: 14 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.08.072

zbMATH Keywords

piecewise algebraic curvesBézout's theoremCayley-Bacharach theorembivariate spline functions

Mathematics Subject Classification ID

Related Items (12)

The maximum number and its distribution of singular points for parametric piecewise algebraic curves ⋮ An algorithm for isolating the real solutions of piecewise algebraic curves ⋮ The Cayley-Bacharach theorem for continuous piecewise algebraic curves over cross-cut triangulations ⋮ Real intersection points of piecewise algebraic curves ⋮ An upper bound of the Bézout number for piecewise algebraic curves over a rectangular partition ⋮ The correspondence between multivariate spline ideals and piecewise algebraic varieties ⋮ Least squares fitting of piecewise algebraic curves ⋮ Nöther-type theorem of piecewise algebraic curves on triangulation ⋮ Recent researches on multivariate spline and piecewise algebraic variety ⋮ Lagrange interpolation by bivariate splines on cross-cut partitions ⋮ Intersection points algorithm for piecewise algebraic curves based on Groebner bases ⋮ Nöther-type theorem of piecewise algebraic curves on quasi-cross-cut partition

Cites Work

• The Bézout number for piecewise algebraic curves
• Multivariate spline and algebraic geometry
• Piecewise algebraic curve
• Nöther-type theorem of piecewise algebraic curves
• Cayley-Bacharach theorems and conjectures
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