The tropical geometry part of OSCAR provides functionality for

  • tropical min-plus and max-plus semirings,
  • matrices and polynomials thereover,
  • tropical varieties, hypersurfaces, curves, and linear spaces.

General textbooks offering details on theory and algorithms include:

  • Maclagan, Sturmfels: Introduction to Tropical Geometry [MS15]
  • Joswig: Essentials of Tropical Combinatorics [Jos21]

Like [MS15], OSCAR follows the min-convention by default and unless specified otherwise.


Please direct questions about this part of OSCAR to:

You can also ask questions in the OSCAR Slack or raise an issue on github.