Tropical Computations in Polymake

Simon Hampe, Michael Joswig

Description

Recently implemented polymake features for computations in tropical geometry are described. The main focus is on explicit examples rather than technical explanations. Computations employ tropical hypersurfaces, moduli of tropical plane curves, tropical linear spaces and Grassmannians, lines on tropical cubic surfaces as well as intersection rings of matroids.

References

  • Simon Hampe and Michael Joswig.
    Tropical computations in polymake.
    In Gebhard Böckle, Wolfram Decker, and Gunter Malle, editors, Algorithmic and experimental methods in algebra, geometry, and number theory, pages 361–385. Springer, Cham, 2017.
    arXiv:1612.02581.

Authors

Simon Hampe  

Prof. Dr. Michael Joswig   +

University: TU Berlin
E-Mail: joswig[at]math.tu-berlin.de
Website: http://page.math.tu-berlin.de/~joswig/

See also

Tropical Grassmannian TropGr(2,6)
Michael Joswig, Benjamin Schröter
Cinderella models images other
Dual del Pezzo 4-Polytope
Benjamin Assarf, Michael Joswig
Cinderella models images other
Reuleaux Triangle Tetrahedron
Stefan Sechelmann
3D models Cinderella models images
Intrinsic and Extrinsic Dirac Operators
Olga Diamanti, Leonidas J. Guibas, Tim Hoffmann, Chengcheng Tang, Zi Ye
images