Section: New Software and Platforms
ISOTOP
Topology and geometry of planar algebraic curves
Keywords: Topology  Curve plotting  Geometric computing
Functional Description: Isotop is a Maple software for computing the topology of an algebraic plane curve, that is, for computing an arrangement of polylines isotopic to the input curve. This problem is a necessary key step for computing arrangements of algebraic curves and has also applications for curve plotting. This software has been developed since 2007 in collaboration with F. Rouillier from Inria Paris  Rocquencourt.
News Of The Year: In 2018, an engineer from Inria Nancy (Benjamin Dexheimer) finished the implementation of the web server to improve the diffusion of our software.

Participants: Luis Penaranda, Marc Pouget and Sylvain Lazard

Publications: Rational Univariate Representations of Bivariate Systems and Applications  Separating Linear Forms for Bivariate Systems  On The Topology of Planar Algebraic Curves  New bivariate system solver and topology of algebraic curves  Improved algorithm for computing separating linear forms for bivariate systems  Solving bivariate systems using Rational Univariate Representations  On the topology of planar algebraic curves  On the topology of real algebraic plane curves  Bivariate triangular decompositions in the presence of asymptotes  Separating linear forms and Rational Univariate Representations of bivariate systems