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TropicalToric : Table of Contents
TropicalToric
 Macaulay2 package for toric intersection theory using tropical geometry.
classFromTropical
 compute a toric cycle of X which class is the same as a given subvariety of X
classFromTropicalCox
 compute a toric cycle of X which class is the same as a given subvariety of X
classWonderfulCompactification
 compute a toric cycle of X which class is the same as a given subvariety of X
degCycle
 Compute the degree of a cycle of maximal codimension
isTransverse
 checks transversality of toric divisors and cones
makeTransverse
 Find a divisor linearly equivalent to a toric divisor D that is transverse to a given cone C
NormalToricVariety _ List
 Create toric cycles
poincareDuality
 Apply the isomorphism Hom(A^k(X),ZZ) = A_k(X)
polymakeConeContains
 Check if a vector is contained in a cone using polymake
pushforwardMultiplicity
 pushforward of Minkowski weights
refineMultiplicity
 Compute the multiplicities of a refinement of a tropical variety
support(ToricCycle)
 Get the list of cones with nonzero coefficients in the cycle
ToricCycle
 the class of a toric cycle on a NormalToricVariety
toricCycle
 Creates a ToricCycle
ToricCycle * ToricCycle
 intersection product of two toric cycles
ToricCycle + ToricCycle
 perform arithmetic on toric cycles
ToricCycle == ToricCycle
 equality of toric cycles
ToricCycle _ List
 Coefficients of toric cycle
toricCycle(ToricDivisor)
 Creates a ToricCycle from a ToricDivisor
ToricDivisor * List
 restriction of a Cartier toric divisor to the orbit closure of a cone
ToricDivisor * ToricCycle
 intersection product of a ToricDivisor and ToricCycle
toricDivisorFromCycle
 Convert a codimension one toric cycle into a toric divisor
torusIntersection
 compute the ideal of the intersection of a subvariety of a toric variety with the torus
variety(ToricCycle)
 Get the ambient variety of the cycle