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 non-zero 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