Paper Info
Title
GENOM3CK: a library for genus computation of plane complex algebraic curves using knot theory
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].
Year
DOI
Venue
2010
10.1145/1940475.1940519
ACM Comm. Computer Algebra
Keywords
Field
DocType
single library,plane complex algebraic curve,genus computation,alexander polynomial,algebraic geometric modeler,knot theory,topological type,graphical capability,algebraic link,geometric model,algebraic curve
Discrete mathematics,Combinatorics,Dimension of an algebraic variety,Algebra,Algebraic curve,Algebraic link,Stable curve,Algebraic surface,Algebraic cycle,Butterfly curve (algebraic),Real algebraic geometry,Mathematics
Journal
Volume
Issue
Citations 
44
3/4
3
PageRank 
References 
Authors
0.54
0
3
Name
Order
Citations
PageRank
Mădălina Hodorog1193.43
Bernard Mourrain21074113.70
Josef Schicho312121.43