Macaulay2 » Documentation
Packages » Tropical :: TropicalCycle
next | previous | forward | backward | up | index | toc

TropicalCycle -- a Type for working with tropical cycles

Description

This is the main type for tropical cycles. A TropicalCycle consists of a Fan with an extra HashKey Multiplicities, which is the list of multiplicities on the maximal cones listed in the order that the maximal cones appear in the MaxCones list. A TropicalCycle is saved as a hash table which contains the Fan and the Multiplicities.

Functions and methods returning a tropical cycle:

  • stableIntersection -- computes the stable intersection of two tropical varieties
  • tropicalCycle -- constructs a TropicalCycle from a Fan and a list with multiplicities
  • tropicalVariety -- the tropical variety associated to an ideal

Methods that use a tropical cycle:

For the programmer

The object TropicalCycle is a type, with ancestor classes MutableHashTable < HashTable < Thing.


The source of this document is in /build/reproducible-path/macaulay2-1.25.06+ds/M2/Macaulay2/packages/Tropical.m2:897:0.