GENOM3CK, a library for genus computation of plane complex algebraic curves using knot theory. We report on a library for computing the genus of a plane complex algebraic curve using knot theory. The library also computes other type of information about the curve, such as for instance: the set of singularities of the curve, the topological type (algebraic link) of each singularity, the Alexander polynomial of each algebraic link, the delta-invariant of each singularity, etc. Using the algebraic geometric modeler called Axel, we integrate symbolic, numeric and graphical capabilities into a single library, which we call GENOM3CK.

This software is also peer reviewed by journal TOMS.