GENOM3CK: a library for genus computation of plane complex algebraic curves using knot theory

Authors:
Mădălina Hodorog;Bernard Mourrain;Josef Schicho
Affiliations:
Austrian Academy of Sciences, Linz, Austria;INRIA Sophia-Antipolis, France;Austrian Academy of Sciences, Linz, Austria
Venue:
ACM Communications in Computer Algebra
Year:
2011

Citing 1
Cited 2

Computational Geometry: Algorithms and Applications

Computational Geometry: Algorithms and Applications

An adapted version of the Bentley-Ottmann algorithm for invariants of plane curves singularities

ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part III
A regularization method for computing approximate invariants of plane curves singularities

Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation

Quantified Score

Hi-index	0.00

Visualization

Abstract

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 [1], we integrate symbolic, numeric and graphical capabilities into a single library, which we call GENOM3CK [3].