CARS

CARS is a program for defining Möbius transformations and Riemann surfaces for computations with other programs. CARS can be used to define hyperbolic Möbius transformations in a geometric way by specifying their fixed-points and their multiplier. CARS can show the axis of these transformations and the respective isometric circles. CARS can also display Möbius transformations that have been written as words of other transformations. Using Combination Theorems, CARS can build Fuchsian groups corresponding to any compact Riemann surface. These groups can further be deformed by the Fenchel-Nielsen twist, for instance.


References in zbMATH (referenced in 13 articles )

Showing results 1 to 13 of 13.
Sorted by year (citations)

  1. Bobenko, Alexander I.; Bücking, Ulrike: Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere (2021)
  2. Sertöz, Emre Can: Computing periods of hypersurfaces (2019)
  3. Hidalgo, Rubén A.: Homology closed Riemann surfaces (2012)
  4. Hidalgo, Rubén A.: A theoretical algorithm to get a Schottky uniformization from a Fuchsian one (2009)
  5. Kaltofen, Erich; May, John P.; Yang, Zhengfeng; Zhi, Lihong: Approximate factorization of multivariate polynomials using singular value decomposition (2008)
  6. Frauendiener, J.; Klein, C.: Hyperelliptic theta-functions and spectral methods: KdV and KP solutions (2006)
  7. Klein, Christian; Richter, Olaf: Ernst equation and Riemann surfaces. Analytical and numerical methods (2005)
  8. Frauendiener, J.; Klein, C.: Hyperelliptic theta-functions and spectral methods (2004)
  9. Gao, Shuhong; Kaltofen, Erich; May, John; Yang, Zhengfeng; Zhi, Lihong: Approximate factorization of multivariate polynomials via differential equations (2004)
  10. Aigon, A.; Silhol, R.: Hyperbolic hexagons and algebraic curves in genus 3 (2002)
  11. Traverso, Carlo; Zanoni, Alberto: Numerical stability and stabilization of Groebner basis computation (2002)
  12. Deconinck, Bernard; van Hoeij, Mark: Computing Riemann matrices of algebraic curves (2001)
  13. Gianni, Patrizia; Seppälä, Mika; Silhol, Robert; Trager, Barry: Riemann surfaces, plane algebraic curves and their period matrices (1998)