A Standard Basis Free Algorithm for Computing the Tangent Cones of a Space Curve

We outline a method for computing the tangent cone of a space curve at any of its points. We rely on the theory of regular chains and Puiseux series expansions. Our approach is novel in that it explicitly constructs the tangent cone at arbitrary and possibly irrational points without using a standard basis.

• Type: Journal
• Year: 2015
• Where: CASC
• Authors: Parisa Alvandi, Marc Moreno Maza, Éric Schost, Paul Vrbik
• Keywords: CASC 2015, Mathematics