The Nöther and Riemann-Roch type theorems for piecewise algebraic curve

DOI10.1007/s11425-007-0003-xzbMath1115.14054OpenAlexW1970147089MaRDI QIDQ2372514

Ren-Hong Wang, Yisheng Lai

Publication date: 30 July 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0003-x

zbMATH Keywords

cyclepiecewise algebraic curveplacecomplete linear series

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Computational aspects of algebraic surfaces (14Q10) Plane and space curves (14H50) Spline approximation (41A15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

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A nearest neighbor sweep circle algorithm for computing discrete Voronoi tessellations ⋮ The Viro method for construction of Bernstein-Bézier algebraic hypersurface piece ⋮ Bounds on the number of solutions of polynomial systems and the Betti numbers of real piecewise algebraic hypersurfaces ⋮ 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 ⋮ Real intersection points of piecewise algebraic curves ⋮ Solving parametric piecewise polynomial systems ⋮ Counting positive solutions for polynomial systems with real coefficients ⋮ Real zeros of the zero-dimensional parametric piecewise algebraic variety

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