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Full-Text Articles in Algebraic Geometry
Computing Intersection Multiplicity Via Triangular Decomposition, Paul Vrbik
Computing Intersection Multiplicity Via Triangular Decomposition, Paul Vrbik
Electronic Thesis and Dissertation Repository
Fulton’s algorithm is used to calculate the intersection multiplicity of two plane curves about a rational point. This work extends Fulton’s algorithm first to algebraic points (encoded by triangular sets) and then, with some generic assumptions, to l many hypersurfaces.
Out of necessity, we give a standard-basis free method (i.e. practically efficient method) for calculating tangent cones at points on curves.