Degree
Doctor of Philosophy
Program
Computer Science
Supervisor
Dr. Marc Moreno Maza
2nd Supervisor
Dr. Eric Schost
Joint Supervisor
Abstract
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.
Recommended Citation
Vrbik, Paul, "Computing Intersection Multiplicity via Triangular Decomposition" (2014). Electronic Thesis and Dissertation Repository. 2631.
https://ir.lib.uwo.ca/etd/2631